NRA rimfire silhouette- allyou need is a .22. The course of fire is at 10 chickens, pigs, turkeys, and rams from about 35 to 100 yards, standing. Its a lot of fun.
CMP qualifier matches- a lot of clubs have these a few times a year, they will give you an M1 Garand (some will give AR-15s) + ammo + coaching to shoot an NRA highpower course. Most of these are reduced range Highpower matches at 100 to 200 yards. Course of fire is typically 10 standing slowfire at 200 yards, 10 rapid fire sitting 300 yards or at a reduced target, 10 rapid fire prone 300 yards or reduced targets prone, then 20 slowfire prone 600 yards or reduced target. If you do this a few times, you'll probably get hooked and will end up buying a 'star wars' rifle anyhow.