Suggest some movies where love story shows love/relationship is not perfect.

I'm looking for love story movies where it feels like real love stories instead of drama. Where they shows the real struggle, where love is not meant to be perfect or partner meant to be perfect, that accepts story and person may be imperfect and still to go on.

Hope I was able to describe the type I'm looking for. Thanks in advance guys.

Edit: Thanks for really beautiful suggestions guys. You guys rocks!!!