I'm not sure about top 10, but my top 5 would be:
1. Kasparov
2. Karpov
3. Anand
4. Fischer
5. Carlsen
edit: I don't know how I can compare these, but somewhere on the list I would like to shove in: Morphy, Alekhine, Rubinstein, Kramnik and Capablanca.
Kasparov 1st 13
Fischer 2nd 11
Alekhine 2nd 11
Capablanca 2nd 10
Lasker 2nd 9
Karpov 3rd 8
Carlsen 3rd 7
Morphy 3rd 6
Botvinnik 4th 5
Anand 4th 4
Spassky 4th 4
Steinitz 5th 3
Tal 5th 3
Topalov 6th 2
Kramnik 8th 2
Rubensein 9th 2
Larsen 9th 1
Anderccen 10th 1
Chirov 11th 1
Ivanchuck 12th 1
Short 13th 1
Bronstein 14th 1
Korchnoi 15th 1
Petrosion 16th 1
Smyslov 16th 1
1. Carlsen
2.Kasparov
3.Karpov
4. Nakamura
5.Anand
6.Kramnik
7.Morphy
8.silman
9.Fischer
10.Krysztofiak
Kasparov 1st 14
Fischer 2nd 12
Alekhine 2nd 11
Capablanca 2nd 10
Lasker 2nd 9
Karpov 2nd 9
Carlsen 3rd 8
Morphy 3rd 7
Botvinnik 4th 5
Anand 4th 5
Spassky 4th 4
Steinitz 5th 3
Tal 5th 3
Topalov 6th 2
Kramnik 7th 3
Rubensein 8th 2
Nakmara 9th 1
Larsen 9th 1
Anderccen 10th 1
Chirov 11th 1
Ivanchuck 12th 1
Short 13th 1
Bronstein 14th 1
Korchnoi 15th 1
Petrosion 16th 1
Smyslov 16th 1
in that case i now delete them :)
thank u notlesu anyone wanna argue to his response?
Like is all about being heard. :)
1) KASPAROV for sure
2)carelson
3)karpov
4)anad
5)tal
Kasparov 1st 15
Fischer 2nd 12
Alekhine 2nd 11
Capablanca 2nd 10
Lasker 2nd 9
Karpov 2nd 10
Carlsen 2nd 9
Morphy 3rd 7
Botvinnik 4th 5
Anand 4th 6
Spassky 4th 4
Tal 4th 4
Steinitz 5th 3
Topalov 6th 2
Kramnik 7th 3
Rubensein 8th 2
Nakmara 9th 1
Larsen 9th 1
Anderccen 10th 1
Chirov 11th 1
Ivanchuck 12th 1
Short 13th 1
Bronstein 14th 1
Korchnoi 15th 1
Petrosion 16th 1
Smyslov 16th 1
Kasparov 1st 16
Fischer 2nd 13
Alekhine 2nd 11
Capablanca 2nd 10
Lasker 2nd 9
Karpov 2nd 10
Carlsen 2nd 10
Morphy 3rd 7
Anand 3rd 7
Botvinnik 4th 5
Spassky 4th 4
Tal 4th 4
Steinitz 5th 3
Topalov 6th 2
Kramnik 7th 3
Rubensein 8th 2
Nakmara 9th 1
Larsen 9th 1
Anderccen 10th 1
Chirov 11th 1
Ivanchuck 12th 1
Short 13th 1
Bronstein 14th 1
Korchnoi 15th 1
Petrosion 16th 1
Smyslov 16th 1
I'll have to check u being a GM. :)
Ivanchuck Norris is a grandmaster of kickboxing chess, but don't bother googling him. Google won't search for Ivanchuck Norris because it knows you don't find Ivanchuck Norris. He finds you. 
Anderccen? Ivanchuck? Petrosion? I don't think they are GMs.
Of course Petrosion is a GM he was freeking world champ
me.
oh wait... you said best?
Top 10 freeking chess players ever !
Wanna make a freeking list for the hell of it ?
I have 8 daughters, ergo my view is much too jaded, so my list can just plain come from here: http://en.wikipedia.org/wiki/List_of_female_chess_players
Silman? Krysztofiak? Aren't they IMs?
best was never defined but i guess i will change my last three votes
8. Fischer
9.Capablanca
10. Tal
Kasparov 1st 11
Capablanca 2nd 8
Lasker 2nd 8
Fischer 2nd 9
Alekhine 3rd 8
Karpov 3rd 7
Carlsen 3rd 6
Morphy 3rd 5
Botvinnik 4th 4
Anand 4th 3
Steinitz 5th 3
Spassky 5th 3
Topalov 6th 2
Tal 7th 2
Larsen 8th 1
Kramnik 9th 1
Anderccen 10th 1
Chirov 11th 1
Ivanchuck 12th 1
Short 13th 1
Bronstein 14th 1
Korchnoi 15th 1
Rubensein 16th 1
Smyslov 17th 1