Saw 'Seeking a Friend for the End of the World' this weekend. I liked it. Although it has some humor in it, it certainly isn't a rom-com, but it does center around the relationship between the two leads, Steve Carell and Keira Knightley.
And, it has some great character actors, not the least of which is our very own William Petersen. He has a small, but important role, as does the ever awesome Martin Sheen. And it has 'Jerry' from Parks and Rec!
If you don't question the whole premise of the show, I think you will like it, if you like Keira Knightley and Steve Carell.