I assume you mean what we call here beiruit when you say beer pong, but you could play actual beer pong with paddles. You can play with cups or cans/bottles. The only difference with cups is that if you get the ball in the cup you have to finish the cup.

You can also play land mines, one of my favorites: Everybody gets a shot glass and fills it up with beer. Take a quarter and spin it, you drink your beer with your right or left hand, when you finish your shot pick up the quarter with whatever hand you used to drink. Then pass the quarter to the next person. If you used the wrong hand (like you drank with your right and picked up the quarter in your left) you go again. Landmines come into play when you finish a beer DURING the game. While a person is drinking slam your beer can on the coin and make them go again. The landmine stays on the table and when a coin hits the landmine they have to do it all over again.

This game shouldn't be played with bottles, because the point of it is to not let people see how much beer you have left.

Another favorite is chandeliers: You will need a quarter(or ping pong ball if you're really bad at quarters), same sized glasses for each player and one large glass(can use all solo cups). The large glass is filled with beer and put in the center of the table. The smaller glasses are also filled with beer(or whatever you're drinking, these won't get mixed so it doesn't matter), arranged around the center glass in a circle, and in front of each player.

The player in possession of the quarter tries to bounce it off the table and into one of the glasses. If the quarter lands in one of the small glasses, the player whose glass it lands in has to drink the beer in their glass and fill the glass back up with beer. If the quarter lands in the large center glass, every player has to chug the beer in their small glass and then play flip cup. The last player to complete the flip has to drink the middle cup.

The quarter is passed to the next player when the previous player fails to bounce the quarter into a glass.

To make this game more "effective" combine drinks into the middle cup. Usually we play having everyone add a little to the center cup, but if not everyone is drinking beer this makes for a much higher stake game.

Then there's always flip cup.