The odd game out

Fragments of positions in some of the best known chess games ever played are shown below. All games, except one, share a common characteristic. Can you spot the odd game out?

Congratulations to bjazz, who solved the main question and pointed out that the Fischer-Petrosian game is the only one to end in a draw!

[Edit: games IX and XI proved too difficult to identify, so I am giving away the answers]

I. Morphy - Duke of Brunswick & Count Isouard, II.Bogolyubov-Alekhine , III.Capablanca-Marshall, IV.D.Byrne - Fischer, V.Fischer-Benko, VI.Fischer-Petrosian, VII.Geller-Karpov, VIII.Karpov-Kasparov, IX.Portisch-Pinter, X.McDonnell-LaBourdonnais, XI.Tatai-Karpov, XII.Spassky-Bronstein, XIII.Larsen-Spassky, XIV.Spassky-Fischer, XV.Saemisch-Nimzowitsch, XVI.Kasparov-Topalov

I believe I is The Opera Game with Morphy.

 Yes it is! Morphy vs Count Isouard & Duke of Brunswick.

These are going to take some time.  They are not easy.

I vaguely recall seeing something like X being played by Andersen or LaBourdonnais.

Is database use permitted?

 Database use is fine, you are very close in your guess.

IV: "The Game of Century" Donald Byrne - Robert James Fischer, 0-1

 Correct!

Is II the Evergreen Game?  I'm sure one of these must be it.

XV: Nimzovitch Vs Saemisch "The Immortal Zugzwang Game"

 No...

 Right again!

You may have to give hints as these are tough.

Can these sections be any part of the chessboard?

Well it has been different part in  the two I guessed

The sections can indeed be any part of the board. Some hints:

1) Only one game besides the XV.Saemisch-Nimzowitsch (already solved by Murrrrr) involves players of less than world champion (official or unofficial) caliber.

2) Games with 3 queens (or two queens of the same color) should be particularly easy to solve, as they are relatively rare

3) Fischer's games are quite prominent

VIII. Karpov-Kasparov, Linares 1993.

 Excellent!

X- McDonnell-LaBourdonnais

 Well done, kid.

 Correct!