We do know the neat stuff like the double star in the handle of the Big Dipper (Alcor and Mizar, the ancient vision test) and the Large and Small Magellanic Clouds, and everything that @LuckyGuy so kindly mentioned.
The stellar nursery in the Orion Nebula. the variable star delta Cephei, the eclipsing binary Algol, the Double Cluster, h and Chi Persei, or NGC 884 and NGC 869, in the northern part of the constellation Perseusnear Cassiopeia…they are all old friends. So are most of the constellations. I don’t pay much attention to the dimmer ones, like some of those of the Zodiac, but I can find them if pushed (using my trusty star charts.
We know when the meteor showers are due. There are geeks who tell us when the comets are arriving…both the old ones and the newly discovered.
@envelo: Most of the stellar objects do not move (or not so we’d notice). Star charts are available to show the sky monthly or seasonally because of the earth’s habit of revolving around the sun. However, the planets do move around relative to both the stellar background and the earth’s motion.