I caught a (wild) rabbit with a bucket.
It was running from a dog and fell into a window well. It got so panicked when I climbed down it almost made it out on it's own (it was about 8 feet deep). So I set the opening of the bucket against the wall with a small gap, to give it somewhere to hide, then went to the other end of the window well, and it crawled right in when I approached again. Covered it with a towel and lifted it right on out.