A few things my dogs know:
BOING!--Dog leaps straight up in the air(not for young pups, too hard on joints...wait until later); easiest way to teach this is if your dog already knows how to target your hand.
Pamela Marxsen has videos on this; search her channel for "boing" and they will come right up. The ones with Bandit(the Border Collie) are the how-to's.
Stick 'em up!--beg position with both paws in the air. Some dogs will do this naturally when you try to teach beg, which is taught by holding a treat just out of their reach over their head. Others don't do this, so in this case again hand targetting comes in handy, because you signal for targetting both hands while the dog is in a beg position. The result is the dog sits up in a beg with both paws straight in the air. My hand signal for this is forming two "guns" with my hand, pointed at the dog.
Wave--taught a variety of ways. Some people have the dog in a sit and the dog paws at you, in a "wave" motion. I taught Mud to do this in a beg position, with one paw in the air(as seen in my signature). But, with my next dog I'm going to change it up, so that this behavior is in response to various questions: Who's the smartest dog in the world? Who wants cookies? Who likes [sports team]? Etc...looks like the dog is raising a paw.
Spin--lure the dog in a circle left or right, eventually lure is no longer needed after lots of practice and fading the lure.
High-five--another one that is taught a variety of ways. I taught this as high five with one paw, then the other, then both, which I call "Up high!"---dog stands on hind legs and high-fives with both paws.
What do boy dogs do?--my female dog hikes her leg in response to this one.
Back up--dog backs up
Scoot--dog is lying down and scoots backwards; also called "Moonwalk" by other trainers
Weave--weave through my legs as I walk
Boo!--dog covers nose/eyes with paw; also called "Shame," "Shy," "Bad dog," and various other cues.
Get it--used for literally anything; kleenex, keys, drinks, leash, something you drop, etc.
Drop it--drop something
Hold--hold something
Easter Egg Hunt--dog picks up Easter eggs, puts them in a basket, then brings basket to you. SUPER cute trick.
Put toys away--exact same concept as Easter egg hunt, without the basket being brought to you.
Roll over
Play dead/Bang--dog either lies on side or lies on back. I haven't taught limp yet, but just taught "Stick 'em up!" a week or two ago. My plan is to have the "Stick 'em up!", then "shoot" the dog and have the dog limp, then "shoot" again and have the dog "die"(for my dog, this is to roll on her back). Just a cute sequence.
Figure 8--dog walks a figure 8 around your legs
Jump--jump over anything; your leg, your arm, and object, etc.
Get up--get up on top of something
Get in--the vehicle, the tub, etc.
Touch--used for either nose or paw targetting. Personally, I use "touch" for targetting with the nose, and "paw" for targetting with the paws.
Cross paws--preferably need to know paw targetting first; target is placed next to one of the paws and wait for dog to target with the opposite paw, so that they cross their paws.
Say your prayers--dog places front paws on something and lays head down
Pray harder--dog dips nose between front legs, looks like they are bowing their head
Crawl--dog crawls
Lots of others but that should keep you busy for a while.
Also the basics, sit, stay, down, come, shake, etc. Possibly the two most important commands are stay and come, so I always really work heavily on these two. You want your dog to come to you no matter what, in any situation, and you want to be able to get your dog to stay should you need him to, also in any situation. Wait is also an excellent cue to master, so that your dog doesn't race out the door or gate, and will wait for food and any other thing you want him to wait for.
If you have any questions about any specific tricks feel free to ask.
A couple of great books to get you started are "101 Dog Tricks" and "51 Puppy Tricks" both by Kyra Sundance.
The amount of tricks you can teach your dog is limitless.