Prior to living here, I joined a book club through a church in NW Florida, there too you did not have to belong to the church to enjoy the club. It was, in fact, the best book club I ever joined!
Together we joined the Florida Trail Association. Through them we did fantastic outings and met great people.
When we lived in Texas (Dallas suburb), we joined several meet up groups. We both loved it. We were pretty much all in the same situation, relocated for work and looking to make friends. It worked really well for us. We met very interesting people, discovered new places, and shared great conversations.
Here, my community (55 +) offers more than 100 different clubs, so there's a lot to choose from, if you are so inclined. We also have an activity director that proposes outings and trips (close or far away), as well as social gatherings like BBQ by the pool, dances, or just listening to a band. My favorite is to listen to the different presentations. Their subjects are always interesting. I am not much of a social butterfly.