The Beehive Cluster is an open cluster that lies near the center of the constellation Cancer the Crab. It goes by many names, including Praesepe and M44.
The Andromeda galaxy is the closest big galaxy to our Milky Way. At 2.5 million light-years, it's the most distant thing you can see with the eye alone.
The Triangulum galaxy, aka Messier 33, has the distinction of being the farthest object you can see with the unaided eye. But you'll need a dark site to catch a glimpse of it.