After finishing a game for the first time, when do you play it again?

Depends on the game. If it started out VERY slow, maybe not.

sometimes right away but other times I start another game first and then I go back to it. 

Depends 

Honestly, I have such a huge backlog that I only play them once and won't return to them for years on end, ever (I always make it a priority to play KH bi-anually though).

Depends on the game. Typically a few months if good game. If bad probably never unless I want to revel in the horrid-ness.

If I finish a game I generally look towards completing my other unfinished games before I go back to replaying

I like to keep my options open, if i have another game to play i would say no

Once I don't have anything better to play, I guess. No matter how much I love a game, I don't like playing it again for a long time.

I typically start it again as soon as possible...which usually is the next day....because I have a tendency to finish the game at 2 a.m. Plus I'm shocked that the game is over so I play it again in order to register what I missed in the last few moments of playing

I don't replay many games, only the really good ones and it is anywhere from a month to a year later

It depends. Now in days I rarely replay any game, but back then when I was a kid, I used to replay games a couple of a weeks after I beat it. Paper Mario and Pokemon come to mind.

Depends of the game whether i liked it or not...

Depends on the game. If I really loved it or enjoyed it, I'll probably play it real soon. If it's something I somewhat enjoyed, I might play it again some time in the future.

Same goes with anime. If I loved it, will rewatch it ASAP again. Something mediocre won't be a priority. 

Depends on the game

Totally depends on the game, but I'll usually playthrough repeatedly if trophies demand it. Mostly I'll just play them for fun.

If the game has any replay value like online multiplayer or a serperate story or options (such as higher difficulty or the choice system in Infamous) then i`ll replay it.

It highly depends on the game.

The only games I have ever gone back and played it again are Batman: Arkham City (love batman and dc) and the Kingdom Hearts series.

When I feel like it.

I just thought of this: YOFO ( You Only Finish Once)

Most of the games i have finished gives you a reason to play it such few more things as a new level of dificulty, new areas, neew equipment ect ....

Depends. Back when I owned a ps2 (I still own it but I don't have possession of... it's a long story) I used to replay games pretty much whenever I finished them. Now that I have a gaming PC/steam I have very little time to replay games, unless I really enjoyed it.

Usually almost immediately. Just about every game I had (Unless there's a lot of content post-game) then I usually restart my file immediately.

It depends of the game but usually not just after I've finished it.

Depends on the game... Some Games I play immediately after the first finishing again, because they were a lot of Fun. Some of them because they had Story Segments that I didn't really understand or want to see again because they were so Epic... And in the case of Assassin's Creed 3 I played it twice in a row, because of the (imo) shitty german synchronization ... Maybe it was just because I was used to the English Version through many LP's I watched, but the german is ... just meh. I first played it in german and immediately after that in english.