If you find older games, please let me know.
Oldest Games by ECO codes

Ranking | ECO Code | Year | Link | Players | Moves | Name |
1 | A00 | 1497 | https://www.chessgames.com/perl/chessgame?gid=1544951 | NN - Lucena | 1.e3 (in this case) | Van't Kruijs Opening (in this case) |
2 | A02 | 1620 | https://www.chessgames.com/perl/chessgame?gid=1272149 | Greco - NN | 1.f4 | Bird's Opening |
3 | A03 | 1834 | https://www.chess.com/games/view/23 | La Bourdonnais - McDonnell | 1.f4 d5 | Bird: QP |
4 | A13 | 1843 | https://www.chessgames.com/perl/chessgame?gid=1001209 | Staunton - Saint Amant | 1.c4 e6 | English: Agincourt Defense |
5-6 | A04 | 1850 | https://www.chessgames.com/perl/chessgame?gid=1547294 | Mohishunder - Cochrane | 1.Nf3 | Réti Opening |
5-6 | A07 | 1850 | https://www.chessgames.com/perl/chessgame?gid=1547288 | Mohishunder - Cochrane | 1.Nf3 d5 2.g3 | Réti: King's Indian Attack |
7-9 | A01 | 1851 | https://www.chessgames.com/perl/chessgame?gid=1634284 | van't Kruijs - de Heer | 1.b3 | Nimzo-Larsen Attack |
7-9 | A06 | 1851 | https://www.chessgames.com/perl/chessgame?gid=1547321 | Mohishunder - Cochrane | 1.Nf3 d5 | Réti: QP |
7-9 | A10 | 1851 | https://www.chessgames.com/perl/chessgame?gid=1001371 | Horwitz - Bird | 1.c4 | English Opening |
10 | A08 | 1853 | https://www.chessgames.com/perl/chessgame?gid=1547399 | Mohishunder - Cochrane | 1.Nf3 d5 2.g3 c5 3.Bg2 | Réti: KIA |

Thanks @Ilampozhil25 ! I'll continue later today.

ok an update-(there is none)
Ranking | ECO Code | Year | Link | Players | Moves | Name |
1 | A00 | 1497 | https://www.chessgames.com/perl/chessgame?gid=1544951 | NN - Lucena | 1.e3 (in this case) | Van't Kruijs Opening (in this case) |
2 | A02 | 1620 | https://www.chessgames.com/perl/chessgame?gid=1272149 | Greco - NN | 1.f4 | Bird's Opening |
3 | A03 | 1834 | https://www.chess.com/games/view/23 | La Bourdonnais - McDonnell | 1.f4 d5 | Bird: QP |
4 | A13 | 1843 | https://www.chessgames.com/perl/chessgame?gid=1001209 | Staunton - Saint Amant | 1.c4 e6 | English: Agincourt Defense |
5-6 | A04 | 1850 | https://www.chessgames.com/perl/chessgame?gid=1547294 | Mohishunder - Cochrane | 1.Nf3 | Réti Opening |
5-6 | A07 | 1850 | https://www.chessgames.com/perl/chessgame?gid=1547288 | Mohishunder - Cochrane | 1.Nf3 d5 2.g3 | Réti: King's Indian Attack |
7-9 | A01 | 1851 | https://www.chessgames.com/perl/chessgame?gid=1634284 | van't Kruijs - de Heer | 1.b3 | Nimzo-Larsen Attack |
7-9 | A06 | 1851 | https://www.chessgames.com/perl/chessgame?gid=1547321 | Mohishunder - Cochrane | 1.Nf3 d5 | Réti: QP |
7-9 | A10 | 1851 | https://www.chessgames.com/perl/chessgame?gid=1001371 | Horwitz - Bird | 1.c4 | English Opening |
10 | A08 | 1853 | https://www.chessgames.com/perl/chessgame?gid=1547399 | Mohishunder - Cochrane | 1.Nf3 d5 2.g3 c5 3.Bg2 | Réti: KIA |

reordered it so that all the info is in the same order as the op (which order looks better btw)
Ranking | ECO Code | Name | Moves | Players | Year | Link |
1 | A00 | Van't Kruijs Opening (in this case) | 1.e3 (in this case) | NN - Lucena | 1497 | https://www.chessgames.com/perl/chessgame?gid=1544951 |
2 | A02 | Bird's Opening | 1.f4 | Greco - NN | 1620 | https://www.chessgames.com/perl/chessgame?gid=1272149 |
3 | A03 | Bird: QP | 1.f4 d5 | La Bourdonnais - McDonnell | 1834 | https://www.chess.com/games/view/23 |
4 | A13 | English: Agincourt Defense | 1.c4 e6 | Staunton - Saint Amant | 1843 | https://www.chessgames.com/perl/chessgame?gid=1001209 |
5-6 | A04 | Réti Opening | 1.Nf3 | Mohishunder - Cochrane | 1850 | https://www.chessgames.com/perl/chessgame?gid=1547294 |
5-6 | A07 | Réti: King's Indian Attack | 1.Nf3 d5 2.g3 | Mohishunder - Cochrane | 1850 | https://www.chessgames.com/perl/chessgame?gid=1547288 |
7-9 | A01 | Nimzo-Larsen Attack | 1.b3 | van't Kruijs - de Heer | 1851 | https://www.chessgames.com/perl/chessgame?gid=1634284 |
7-9 | A06 | Réti: QP | 1.Nf3 d5 | Mohishunder - Cochrane | 1851 | https://www.chessgames.com/perl/chessgame?gid=1547321 |
7-9 | A10 | English Opening | 1.c4 | Horwitz - Bird | 1851 | https://www.chessgames.com/perl/chessgame?gid=1001371 |
10 | A08 | Réti: KIA | 1.Nf3 d5 2.g3 c5 3.Bg2 | Mohishunder - Cochrane | 1853 | https://www.chessgames.com/perl/chessgame?gid=1547399 |

A00 (Uncommon Openings): NN-Lucena (1497), van't Kruijs 1. e3
https://www.chessgames.com/perl/chessgame?gid=1544951
A01 (Nimzo-Larsen Attack) 1. b3 : van't Kruijs - de Heer (1851)
https://www.chessgames.com/perl/chessgame?gid=1634284
A02 (Bird's Opening) 1. f4 : Greco - NN (1620)
https://www.chessgames.com/perl/chessgame?gid=1272149
A03 (Bird: QP) 1. f4 d5: La Bourdonnais - McDonnell (1834)
https://www.chess.com/games/view/23
A04 (Réti Opening) 1. Nf3: Mohishunder - Cochrane (1850)
https://www.chessgames.com/perl/chessgame?gid=1547294
A05 (Réti Symmetrical) 1. Nf3 Nf6: Réti- Muffang (1923)
https://www.chessgames.com/perl/chessgame?gid=1758075
A06 (Réti: QP) 1. Nf3 d5: Mohishunder - Cochrane (1851)
https://www.chessgames.com/perl/chessgame?gid=1547321
A07 (Réti: King's Indian Attack) 1. Nf3 d5 2. g3: Mohishunder - Cochrane (1850)
https://www.chessgames.com/perl/chessgame?gid=1547288
A08 (Réti: KIA) 1. Nf3 d5 2. g3 c5 3. Bg2: Mohishunder - Cochrane (1853)
https://www.chessgames.com/perl/chessgame?gid=1547399
A09 (Réti Gambit) 1. Nf3 d5 2. c4: Shumov - Jaenisch (1854)
https://www.chessgames.com/perl/chessgame?gid=1287010
A10 (English Opening) 1. c4: Horwitz - Bird (1851), Great Snake variation 1...g6
https://www.chessgames.com/perl/chessgame?gid=1001371
A11 (English: Caro-Kann Defensive System) 1 c4 c6: Carls - Tarrasch (1925)
https://www.chessgames.com/perl/chessgame?gid=1007241
A12 (English: Caro-Kann Defensive System) 1 c4 c6 2. Nf3 d5 3. b3: Gruber - Tacacz (1923)
https://www.chessgames.com/perl/chessgame?gid=1003907
A13 (English: Agincourt Defense) 1 c4 e6: Staunton - Saint Amant (1843)
https://www.chessgames.com/perl/chessgame?gid=1001209
A14 (English: Neo-Catalan Declined / Keres Defense): Rubinstein - Breyer (1912)
https://www.chessgames.com/perl/chessgame?gid=1000999
A15 (Anglo-Indian Defense) 1. c4 Nf6: Capablanca - Adams (1915)
https://www.chessgames.com/perl/chessgame?gid=1793332
A16 (Anglo-Indian: Queen's Knight) 1. c4 Nf6 2. Nc3: Schwarz - Paulsen (1879)
https://www.chessgames.com/perl/chessgame?gid=1295615
A17 (Anglo-Indian: Hedgehog System / Nimzo-English): MacDonnell - Gossip (1883)
https://www.chessgames.com/perl/chessgame?gid=1580720
(to be continued )
this
A00 (Uncommon Openings): NN-Lucena (1497), van't Kruijs 1. e3
https://www.chessgames.com/perl/chessgame?gid=1544951
A01 (Nimzo-Larsen Attack) 1. b3 : van't Kruijs - de Heer (1851)
https://www.chessgames.com/perl/chessgame?gid=1634284
A02 (Bird's Opening) 1. f4 : Greco - NN (1620)
https://www.chessgames.com/perl/chessgame?gid=1272149
A03 (Bird: QP) 1. f4 d5: La Bourdonnais - McDonnell (1834)
https://www.chess.com/games/view/23
A04 (Réti Opening) 1. Nf3: Mohishunder - Cochrane (1850)
https://www.chessgames.com/perl/chessgame?gid=1547294
A05 (Réti Symmetrical) 1. Nf3 Nf6: Réti- Muffang (1923)
https://www.chessgames.com/perl/chessgame?gid=1758075
A06 (Réti: QP) 1. Nf3 d5: Mohishunder - Cochrane (1851)
https://www.chessgames.com/perl/chessgame?gid=1547321
A07 (Réti: King's Indian Attack) 1. Nf3 d5 2. g3: Mohishunder - Cochrane (1850)
https://www.chessgames.com/perl/chessgame?gid=1547288
A08 (Réti: KIA) 1. Nf3 d5 2. g3 c5 3. Bg2: Mohishunder - Cochrane (1853)
https://www.chessgames.com/perl/chessgame?gid=1547399
A09 (Réti Gambit) 1. Nf3 d5 2. c4: Shumov - Jaenisch (1854)
https://www.chessgames.com/perl/chessgame?gid=1287010
A10 (English Opening: General) 1. c4: Horwitz - Bird (1851), Great Snake variation 1...g6
https://www.chessgames.com/perl/chessgame?gid=1001371
A11 (English: Caro-Kann Defensive System) 1 c4 c6: Carls - Tarrasch (1925)
https://www.chessgames.com/perl/chessgame?gid=1007241
A12 (English: Caro-Kann Defensive System) 1 c4 c6 2. Nf3 d5 3. b3: Gruber - Tacacz (1923)
https://www.chessgames.com/perl/chessgame?gid=1003907
A13 (English: Agincourt Defense) 1 c4 e6: Staunton - Saint Amant (1843)
https://www.chessgames.com/perl/chessgame?gid=1001209
A14 (English: Neo-Catalan Declined / Keres Defense) 1. c4 e6 2. Nf3 d5 3. g3 Nf6 4. Bg2 Be7 5. O-O: Rubinstein - Breyer (1912)
https://www.chessgames.com/perl/chessgame?gid=1000999
A15 (Anglo-Indian Defense) 1. c4 Nf6: Capablanca - Adams (1915)
https://www.chessgames.com/perl/chessgame?gid=1793332
A16 (Anglo-Indian: Queen's Knight) 1. c4 Nf6 2. Nc3: Schwarz - Paulsen (1879)
https://www.chessgames.com/perl/chessgame?gid=1295615
A17 (Anglo-Indian: Hedgehog System / Nimzo-English) 1. c4 Nf6 2. Nc3 e6: MacDonnell - Gossip (1883)
https://www.chessgames.com/perl/chessgame?gid=1580720
A18 (Anglo-Indian: Mikenas-Carls variation) 1. c4 Nf6 2. Nc3 e6 3. e4: Heemskerk - De Soyres (1903)
https://www.chessgames.com/perl/chessgame?gid=1279294
A19 (Anglo-Indian: Mikenas-Carls: Sicilian variation) 1. c4 Nf6 2. Nc3 e6 3. e4 c5: Carls - Hilse (1927)
https://www.chessgames.com/perl/chessgame?gid=1279888
A20 (King's English) 1. c4 e5: Deacon - Lowe (1851)
https://www.chessgames.com/perl/chessgame?gid=1572272
A21 (King's English: Reversed Sicilian) 1. c4 e5 2. Nc3: Horwitz - Harrwitz (1849)
https://www.chessgames.com/perl/chessgame?gid=1001292
A22 (King's English: Two Knights variation) 1. c4 e5 2. Nc3 Nf6: Brien - Janssens (1854)
https://www.chessgames.com/perl/chessgame?gid=1572780
A23 (King's English: Carls-Bremen System: Keres variation) 1. c4 e5 2. Nc3 Nf6 3. g3 c6: Tarrasch - Reggio (1903)
https://www.chessgames.com/perl/chessgame?gid=1099483
A24 (King's English: Carls-Bremen System: Fianchetto Line) 1. c4 e5 2. Nc3 Nf6 3. g3 g6: Maroczy - Charousek (1895)
https://www.chessgames.com/perl/chessgame?gid=1036139
A25 (King's English: Reversed Closed Sicilian) 1. c4 e5 2. Nc3 Nc6: Bird - Martinez (1889)
https://www.chessgames.com/perl/chessgame?gid=1002274
A26 (King's English: Closed System) 1. c4 e5 2. Nc3 Nc6 3. g3 g6 4. Bg2 Bg7 5. d3 d6: Carls - Tartakower (1925)
https://www.chessgames.com/perl/chessgame?gid=1007200
A27 (King's English: Three Knights System) 1. c4 e5 2. Nc3 Nc6 3. Nf3: Stapfer - Jaffe (1913)
https://www.chessgames.com/perl/chessgame?gid=1552133
A28 (King's English: Four Knights System) 1. c4 e5 2. Nc3 Nc6 3. Nf3 Nf6: Sutton - Philipp (1853)
https://www.chessgames.com/perl/chessgame?gid=1336326
A29 (King's English: Four Knights: Kingside Fianchetto) 1. c4 e5 2. Nc3 Nc6 3. Nf3 Nf6 4. g3: Bird - Steinitz (1866)
https://www.chessgames.com/perl/chessgame?gid=1955103
A30 (Symmetrical English: General) 1. c4 c5: Deacon - Lowe (1851)
https://www.chessgames.com/perl/chessgame?gid=1572270
A31 (Symmetrical English: Benoni Formation) 1. c4 c5 2. Nf3 Nf6 3. d4: Torre - Alekhine (1925)
https://www.chessgames.com/perl/chessgame?gid=1007139
(to be continued
)