The Beachland Ballroom and Tavern offers two venues for live music. The tiny Tavern and the ballroom off to the side of the tavern. My personal favorite is the ballroom. It's large enough to hold a fair sized crowd, but still small enough to feel like an intimate show. Definitely one of my favorite venues in the Cleveland area.
I used to look forward to the yearly Luna show at the Beachland, but alas, they've broken up. I've seen a number of other shows here as well, definitely for the smaller acts.
Ticket prices are always reasonable, and if you purchase from their website, you save on the ridiculous handling fees charged by ticket brokers like tickets.com and the like. The Beachland will hold your tickets at the door.