Great list! Though I would think that Morphy should feature on there.
Top 30 chess players of all time

The only reason I didn't put Morphy on there is because:
1. He didn't play long enough (only 300 known games).
2. Since there were no other really good players in that time, he didn't really have any competition to prove he was that good. If, for example, he was dropped into the 1970's and beat Fischer, Karpov, and everyone else, then he would of course be on here.

That's a reasonable argument on the Morphy front, though I still would choose him because of how influential his games, style and history have been on the world of chess ;)
Another player possibly to consider would be Pirc. Also although I think he might technically still be active, how about Korchnoi?

I'm glad that Fischer didn't make the number one spot on your list. He was a strong player, but he didn't play long enough to really prove himself.
I don't think Tal should be quite that high on your list. I've always thought he seemed like a one-dimensional player. He was good at what he did, but that's about it. His reign as world champion was very brief, and Botvinnik, whom he defeated for the title, quickly regained it.
Also, I feel like Petrosian should be much higher on the list. He had an very unique style, not quite like any other chess player in history. All in all, he was incredibly hard to beat ("In those years, it was easier to win the Soviet Championship than a game against 'Iron Tigran'." — Lev Polugaevsky). He was also quite versatile, and not afraid of sharp positions, even if he didn't perfer them. Spassky found this out when he lost his first world championship match against Petrosian, and stated that, "It is to Petrosian's advantage that his opponents never know when he is suddenly going to play like Mikhail Tal."

hankm:
First of all, about Tal:
He advanced to the Candidates tournament 6 times! He had the 5th best tournament performance of all time with a performance rating of 2869!!!!
He won the Interzonal back in 1958 when he was still very young (ahead of Fischer, Gligoric, Benko, Olaffson, Averbakh, and many many more, including your Petrosian).
He had the longevity that every chess player needs: He was in the top 10 in the world even in 1988 (!!!)
About Petrosian:
It's true that he was hard to beat, but only because he made more draws than anyone! He was not really number one in the world for long too, only for 33 months (It sounds like a lot but for a world champion and a world championship candidate from 1955-1978 it really isn't.) He also did not have any super years, ( Like Fischer in 1972, Pillsbury in 1901 and so on.) only having the 18th best year of all time in 1963.
It's a good list, and I don't think Tal is too high. Bronstein as 8th ahead of Smyslov, Steinitz, Spassky and Tal sounds a bit high to me though, and I wouldn't place Geller far ahead of Korchnoi, otherwise I agree with almost everything and can't say I miss anyone.

fabelhaft - Yeah, Bronstein and Geller were tough to rank. The reason that Bronstein made it so high is-

Also, one reason Geller made it up there is his score against these players.
Petrosian +1
Smyslov +1
Keres =
Tal =
Geller's average rating from 1952-1971 is 2730 (!!!)
Also, he was in the top 20 in the world from 1950-1980
But looking at him compared to other players, his achievements pale in comparison to theirs. Oh well, maybe he should be lower.

Oh my! I really screwed up Geller. Keres has much prettier numbers.
Geller's numbers - http://chessmetrics.com/cm/CM2/PlayerProfile.asp?Params=199510SSSSSWS043054000000111000000000010010100
Keres's numbers - http://chessmetrics.com/cm/CM2/PlayerProfile.asp?Params=199510SSSSSWS063804000000111000000000015910100

People who liked this list will probably like this too
http://www.chess.com/forum/view/general/top-10-most-memorable-world-championship-moments
according to nigel short fisher was better in blitz than kasparov!!!!!!!!!!!!!
he concluded that after a secret encounter on the net
Short never played Fischer, it was just someone with an engine that pretended to be him. Fischer denied playing Short or on the Internet. It's difficult to compare blitz strength between different generations, but for 2000-09 the highest Elo performances in OTB blitz look like this (last column):
1.Kasparov,G 52 + 30- 4= 18 2867
2.Anand,V 137 + 67- 25= 45 2810
3.Ivanchuk,V 166 + 82- 42= 42 2793
4.Kramnik,V 137 + 57- 34= 46 2783
5.Carlsen,M 183 + 93- 48= 42 2767
Carlsen's stats would of course improve considerably if 2010 was included since he wasn't a top player for the most part of 2000-09 but had excellent results in 2010.
http://members.aon.at/sfischl/blitz.txt
Here I am simple going to post who I think are the 30 greatest chess players who ever lived. One thing: I am not going to post any active players here, because you never know who good or bad active players can do in the future. I am looking forward to your feedback and seeing where I should change the places and if I missed a player entirely.
1. Kasparov
2. Karpov
3. Alekhine
4. Fischer
5. Lasker
6. Botvinnik
7. Capablanca
8. Bronstein
9. Spassky
10. Smyslov
11. Steinitz
12. Tal
13. Geller
14. Euwe
15. Petrosian
16. Tarrasch
17. Keres
18. Reshevsky
19. Rubinstein
20. Korchnoi
21. Stein
22. Gligoric
23. Fine
24. Schlechter
25. Pillsbury
26. Marshall
27. Chigorin
28. Polugaevsky
29. Najdorf
30. Larsen