At the very least, I'd want them to be able to tolerate my hobbies. If they're into them a little bit too, it's an added bonus. I've talked to people who are in relationships with people who despise their hobbies and it just sounds like a really frustrating and stressful way to live one's life. That's not even specific to video games, it applies to anything that you like to spend your free time doing.
My wife doesn't like video games because she finds them over-complicated nowadays compared to something like Mario Kart. That's fine with me, she respects the fact that I adore them and will even watch me play story heavy games as though we're watch a TV series together (Wolf Among Us).
It's okay to not like the things I like, as long as your not hostile towards those things. Hell, I do not have the mental capacity to sit through any of her Korean Dramas, but I respect that she watches them.
I've been trying my damnedest to get my girl into playing Dota. You don't really know a person until you've seen what they become after 3-4 hours of Dota.
My stance on the matter is this, my significant other doesn't have to like the things I do and vice versa. The only thing I do ask, is to respect the things I like as I will respect the things she likes.
My girlfriend-now wife, doesn't like playing video games, period. She tried though. Tried playing with her some Tekken, Sonic Racing All-Stars, Rayman Legends, but found the hand-mind coordination to be overwhelming at times. But she respects me for being a gamer. She enjoys watching me play though. Last night she was watching me play Lollipop Chainsaw and she found it hilarious, and was quite amazed that games these days have an actual story line. I'm just happy she lets me hog the TV for myself for at least an hour to play games to be honest.
As long as the lady in question does not have a problem with it, we're good.
A note - I'm talking about a problem with games in general. If I start playing games and it's hurting the relationship, then it's a valid thing to bring up. If I play games for three hours on Saturday and Sunday mornings and at no other times, it shouldn't be an issue.
It's definitely not an issue right now as I don't have a girlfriend.
My wife tolerates my habits, and now she'll even listen when I try explain things like Dark Souls or Persona 3 to her. I don't think she gets it, but it's nice that she tries.
Ultimately it's not as important to like all the same things, but rather that you can live together while still being attracted to each other.
Wow im the only one so far that voted I refuse to date anyone that doesn't play video games heh. I just don't think id get the same enjoyment with someone who has different interests to me. Id rather be single. It's like making friends with someone who only cares about cars (a relative of mine) he's a good guy but because our interests are so different we are much further apart than I am with my other relative who loves games.
Having a girlfriend takes up valuable gaming time. Not worth it.
As long as I don't have to feel guilty or disrespected about playing games. It's fine. Though people my age who don't at least partially appreciate games are getting scarcer. I'm more inclined to see Anime habits getting in the way. >.>
I've never really cared if a girlfriend played games or not. Most of my past girlfriends were the odd Mario Kart or Rock Band here-or-there type players, but that's about it, and it didn't bother me at all. I don't think a couple needs to share everything together or have all of the same interests, and my hobbies and personality are multifaceted enough that if we don't connect on games, I'm sure we'll connect on something else. I've never understood the obsession with "gamer girls".
That being said, it's probably easy for me to say since I'm with one. I enjoy that we have another avenue where we can do something together or talk about. Aside from that though, and being primarily how we met, I don't really think it's a major facet of our relationship.
It is frustrating that she's better than me at Halo and CoD though... and her attraction to Cole Phelps in LA Noire was a bit disconcerting...
I'm a pretty big believer that you've got to share some interests with your other, if you don't, what's the point? That being said, that interest doesn't necessarily have to be the video games, as long as they don't mind me enjoying them. If my games are a problem for her, odds are I won't like her very long anyway.