When I went to college my only friends at that school were from HS, both were Presbyterian. I went to their campus group (they had a building, some students lived there). About half of the people there were Presbyterian, the rest of us were just friends with them (some religious, others not). So while the community ostensibly formed around the particular church, it had a more diverse group and we all had different interests. The
common thing was that we mostly enjoyed each others' company, and then smaller groups formed around specific kinds of activities. Some of us were more video game nerds, or anime nerds, or we formed intramural sports teams, etc.
I also joined the IEEE student society and, later, the ACM student society. While they formed around the technical disciplines, they weren't as specific as a movie watching club. This offered similar opportunities to the other environment.
These broader groups have general social activities and events that are good opportunities to meet people without there being a specific focus. Another element of these groups is that you often don't need to be a member to go to their social events. That church group had cookouts every once in a while. People could just walk up and eat and talk, we didn't care if they were properly part of the group or not. If you see announcements for things or pass by an event, join in. You may meet people you like, or not, but you have to take the chance.
As far as setting up activities, start simple. If I were in college right now, this weekend I'd want to see Dune. I'd invite whoever I knew and suggest dinner and a movie. The movie is the impetus to get people out, the dinner is the opportunity to talk. Do it in either order (dinner then movie, movie then dinner), though the latter is nice because it means there is no clock on the dinner (c'mon people, we've got to go or we'll miss the movie). Then you can branch out from there. Whatever you're interested in, start inviting people but try to have a social component, a chance to just sit and talk. Learn their interests and if you see or hear something that may be of interest to them but is not high on your own list, still suggest it.
Like, I enjoy white water rafting, it's fun, but it's not my thing. I've had friends who would do it every weekend if there were no cost or travel time. So I still threw it out as an activity sometimes because I knew that it would be of interest to some of my friends, even if it was a take-it-or-leave it thing for me.