Post my modest list too
1. Poul Morphy
2. Rashid Nezhmetdunov
3. Mikhai Tal
4. Prince Andrey Dadian
Top 10 attacking players.

There are some strong players in this list, but Beliavsky and Fischer weren’t known for their massive all-or-nothing attacks the way Shirov, Tal and Nezh were.

I think for someone to be considered a great attacker they have to engage in speculative sacrifices, I don’t think Fischer, who is mentioned several times in this thread, did, he was too materialistic.
10. Spielman
9. Morphy
8. Anand
7. Alekhine
6. Polgar
5. Shirov
4. Tal
3. Nezhmetdinov
2. Kasparov
1. Alpha Zero

The best attacking chess player was
Rashid Nezhmedinov, 5 times BRSS champion he has wins against world champion even he never become GM.
You need to check his games with Tal, Chernikov, Polugaevsky, Geller etc.
This is true. Nezhmedinov is the greatest attacker ever. His attacks were more impossible than Tal's, he has couple of beautiful wins against Tal. Search Rashid Nezhmedinov on Youtube and you will get some beautiful analysis. Was he the most accurate attacker? No. But his games were more beautiful and fun than anyone I've ever seen.

nobody mentioned spassky. astounding.
Same reason nobody mentions fischer
Actually, in his youth Spassky was far more likely to play a sacrificial attack than Fischer ever was.
Fischer was a founding member of Pawnsnatchers Anonymous. He would much rather grab a pawn and defend against an attack than sac material for an attack.

Pretty sure Spassky was considered more dangerous than tal at one point. who was it that said it... I think it was 1970. If someone has that statement, please post it

nobody mentioned spassky. astounding.
Same reason nobody mentions fischer
Actually, in his youth Spassky was far more likely to play a sacrificial attack than Fischer ever was.
Fischer was a founding member of Pawnsnatchers Anonymous. He would much rather grab a pawn and defend against an attack than sac material for an attack.
Yep. Everyone who mentions Fischer as one of the greatest attackers doesn't know anything about Fischer.

One man's opinion:
Tal-Yes, some of his games were later found to be unsound. Sometimes it took years of worldwide analysis to come to that conclusion, and the best players in the world couldn't counter his attacks over the board.
Morphy-Created the science of using positional factors to create his attacks.
Alekhine-Legendary attacking genius who made subtle changes in some opening variations to bolster long-term attacking chances. Interestingly, he knew he could never beat Capablanca that way so he changed his style for that one natch, took Capa by surprise, and won the championship.
Nezhmetddinov-All-out attacks at all times, sometimes successful against world-class players.
Spassky-willing to try anything against anybody. An elite all-around player, had some legendary attacks against the world's best.
Kasparov-Another great player in all facets of the game, he liked to keep the pressure on until his opponents cracked and were overwhelmed.
Fischer-his opening repetoire was selected to give him long-term attacking
(or counter-attacking chances. His techinque was so good that often all his attacking pressure netted him was a pawn, or a serious pawn weakness he could go on to exploit.
Petrosian-Nobody could play defense like he did if they didn't see all their opponents' attacks coming. He'd wait for them to get their pieces overextended or tangled up, then he would pounce like a tiger.
There are so many other fine attackers in chess history that I can't choose any two more as definitely better than the rest.

1. Garry Kasparov
2. Mikhail tal
3. Rashid nezhmethinov
4. Vishwanathan Anand
5. Anatoly Karpov
6. Alexei Shirov
7. Judit Polgar
8. Magnus Carlsen
9. Hikaru Nakamura
10. Bobby Fisher
The word "Karpovian" refers to a style of chess where a player makes a quiet move that renders the sound and fury of his opponent's attack senseless.
Sure, Karpov was an excellent attacking player, as was Fischer. But that's not how they got to be world champions. They were not primarily king hunters, and certainly do not belong in the same conversations about attackers such as Tal and Shirov. Both Fischer and Karpov would have been very comfortable not being on these lists.
Fischer’s entire style was based on targeting the opposing king.
Actual top 10 is
1. Joseph Blackburne
2. Paul Morphy
3. Rashid Nezhemetdinov
4. Gioachino Greco
5. Adolf Anderssen
5. Mikhail Tal
6. David Bronstien
7. Rudolf Speilman
8. Max Lange
9. Alexander Alekhine
10. Mikhail Chigorin