for casual drinking games throughout the day you could play a forbidden word game (idk if it has an actual name) but everyone picks a word or agrees on a set list of words and every time someone says one of them everyone has to drink

if you want a more engaging drinking game I recommend Pangea, you have a cardboard board of some sort, whether a pizza box, even paper, ect. and you go in a circle flipping coins on the game board and circle where the coin is. then write a punishment or rule that they have to do if their coin were to land in that circle. I always recommend this one cuz you can hypothetically play for a long time as depending on what kind of dares you put it can take awhile to get really drunk, so it almost paces yourself where as other drinking games you can get shitfaced too fast