I did two recreational bench press competitions when I was in college. Thinking of trying to get back into competitions. Sometimes gyms will hold local ones too.
If you are wanting to get into powerlifting(big 3 lifts), would recommend anything that is a USA powerlifting meet. Although you do not have to compete in all three. Most of these are open to anyone, but you have to have a membership of USA powerlifting organization. They judge the events.
If you are going this route, would suggest a coach.