What veggies can I plant in planters?

Lots! With 4-5 inches depth, you can plant basil, radishes, lettuce, among other things. If you have more depth, even more options!!

Anything but corn and you can do corn in earth boxes. Just remember that watering may be different than a regular garden. Have fun!!!

Tomatoes and green pepper work great in pots.

I have planted "blue" potatos in a semi large planter with my tomatos. They grow quite well.

I have planted spinach, leaf lettuces, carrots, tomatoes, cucumbers, and herbs all in plant pots. Just be aware that they will require more water as the dirt in the pots will dry out faster. Be sure your pots have sufficient drainage holes on the bottom.