May I ask what the shots are of? I have heard of people using beer, which is rediculously easy. You can get an easy 10 shots out of a bottle depending on the shot glasses which equates to 10-15 drinks. (depending on if it's light, normal or heavy beer) However if you were using spirits, that equates too 100 standard drinks (more in the cases of most shot glasses) which usually calls for a stomach pump and some rather unpleasant alcohol poisoning.
Anyway, I probably have too many stories to tell let alone remember, most are from when i was 16-18, so before I was legal drinking age here in Aus. (I pretty much stopped drinking once I hit 18

)
As for games, beer pong is always a favourite, multiple ways you can play it. First game i ever played, me and my partner won with 7 double shots left on the table (out of 10) my mate had 4 of them at once, he's a light weight, and so wasnt too well off later on. (imagine someone sitting outside with a bucket and hose, throwing up in the bucket and sucking on the hose)
Mind you before that he was tackling people on tarmac
When we were 16 we stole a Cops letter box. And when i say we, i mean other people, i was busy throwing a road sign in a pool.
We stole letters from one of those changeable signs they have out the front off schools and churches, and wrote "sausage porn" on one out the front of a primary school (it was hilarious at the time

) after which a fire extinguisher was "liberated" and if it had worked, it would have been put to good use. When you think about it we did them a favour, had a fire occurred with that extinguisher, it wouldn't have worked, and we made them get a new one, that was reliable

Dare pool was always fun, the more shots (shots of pool/billiards) you miss, the worse your dare, was always funny making people run down the street naked, taking their clothes in and locking them out while everyone is looking out their windows wondering why someone was yelling happy new year in July.
Battle royal drinking game is fun, and if you play every rule to the letter, you end up dead, and I mean litterally, there is something like 300 drinks worth in that game
1 party, I was already drunk, downed 5 shots of absinthe in record time, stood up 5 mins later went directly sideways into a pole. Got up, then tried to lift the bar bell on the bench press, wasnt a heavy weight, but I was wasted and the clamps weren't on the side, the weights fell off the sides individually till I got it up. much like homer
Drunken tricking at the beach, roundoff backflip to half backflip to quater backflip to face plant
Getting a cop that came to check a party out to actually come in and drink with us was one of my best drinking moments ever
Stealing a bottle of rum, then trying to convince the owner that he stole it himself, not realizing who he was.
Convincing a drunken Steph, that she had cancer, and that my dad is black (im white as hell, as in, belfast white.). God she's and idiot
And those are the only short, non violent/ish and PG-13 stories I can be botherd typing atm.