Or the guy who lets his fists speak for him
fischer and kasparov were the most good looking chess players in chess history
forget the pretty boys, the only one i'll consider is magnus - he's got the jaw, as some other bunny alluded to earlier in this thread ...

the OP forgot about Capablanca. he was offered movie contracts. the ladies loved him.
This comment made me think of Humphrey Bogart because Capablanca somewhat resembles him... and then I find out Bogart was an excellent chess player... (2100) according to :
https://www.chess.com/clubs/forum/view/actor-humphrey-bogart-and-chess
And Humphrey's biggest movie was Casablanca! I feel like I'm in the twilight zone

Depends what kind of guys you are in to. Kinda surprised at the Fischer and Kasparov combo though.
Hm. Funny stuff, i got into chess because of how many good-looking players i found. I think i could make a list of my personal favourites (although some of them might be a bit weird)
Bobby Fischer
Anatoly Karpov and Garry Kasparov were quite handsome when they were younger.( I prefer Karpov, but that may be personal tastes.)
And Jan Timman
Now, moving on to more recent players...
Alexander Grischuk
Hans Niemann is pretty handsome when he looks like he showered
And Arseniy Nesterov
That's my personal list. Not in any specific order
I think Karjakin looks pretty good