Roma tomatoes, leeks (just about any breed), cucumber, and mint grow like weeds in SE Ohio. Even on a rocky hillside where my cabin is. My Romas are basically perennial at this point. Started with a couple whole tomatoes that I didn't get to eat so I just quartered and planted them. They ended up taking over a 12'x12' plot the following year and I ended up having to move my onions to another area.
Mint will go crazy if left unchecked but it is good in hanging baskets to keep wasps away.