Most aspies also find unstructured social situations more difficult than structured ones as a general rule. My opinion is that we each have a level of social structure which seems comfortable to us. Too much structure and we chaffe and rebel. Too little and we don't know what to do.

You might consider what your appropriate level of structure is. And then either participate in those kinds of activities in hopes of getting to know new people who also like those, or consider inviting someone to join you in one of those - perhaps as a date.

I'll also point out that the focus of the activity can be adjusted and that that can make the personal/pressure level considerably different. Dinner tends to be pointedly about you and me. Movies are you and me watching something "out there", which is considerably less personal and direct. Volunteering for political action, or any other sort of volunteer work would probably be even more like a movie in that it was pointed, focused, somewhat structured, and not really about you or the other person. Drinks or coffee are more like dinner, but shorter, so you don't have to deal with it for long if it's particularly awkward.

Anyway, just some other ideas for variables you might consider playing with.