Someone inviting you to see them in a play/open mic/stand-up comedy
Unless there are very clear plans that you will be spending time alone together after, then sorry, you are just there for moral support. And if you aren’t getting dinner/drinks/sex afterward, then hopefully at least the play was decent so your ENTIRE night isn’t ruined.
Someone buying you drinks after you help them move
Someone thanking you for doing manual labor for them is not a date.
Being the friend brought along to entertain your bestie’s date’s friend
You are there solely to help your bestie get laid. That said, there’s no reason why this can’t be fun. Chances are the friend is just as unenthused as you are about being there, so there’s no reason why the two of you can’t bond over shots at the bar and bang in the bathroom. You’ll probably end up getting married while your bestie and his/her date never make it to a second one.