the one on the right is a stony coral. small polyp scleractinian, or sps. it looks in pretty bad shape, but not dead.
the one on the left is a large polyp coral, but i'm not sure which. can you touch it, let the polyps retract, and then take a picture? how big is that frag? maybe a browned out galaxia coral, depending on the size. do you see any long sweeper tentacles at night?