Yeah, Eternal Sunshine is pretty good for mooshy vibes but not being too lame. If anything it's kinda ambiguous in tone, but still nice. My only warning, while I think it is straightforward, it's definitely not as straightforward as Amelie.
I'd second Punch Drunk Love too, but mainly because both these movies have Jon Brion soundtracks... Punch Drunk Love was pretty cold and distant, I thought... but maybe I thought too much. I think I left the theatre after Eternal Sunshine feeling more like cuddling.
Edit: just realised I recommended a Jim Carey movie and an Adam Sandler movie! You probably know the movies and, even if you haven't seen them, know that neither are really comedies, definitely not involving slapstick or poo jokes or anything, anyway.