Depends on the drink, I don’t drink a lot of hot drinks like tea but when I do they always have to be at a hot temperature for me to drink them, I couldn’t have cold/iced tea or something like hot chocolate at room temperature.
I always have water and fizzy drinks cold though, either around the fridge temperature or if it still seems too warm then I’ll add some ice cubes too it (though I try not to add too many so it doesn’t water the drink down) as I find these drinks a lot more refreshing when they’re colder.
Due to being such an irresponsible human being, I have allowed my teeth to get sensitive. As a result I do avoid ice cold drinks.
Fortunately, even before my teeth got so bad, I still carried a preference for barely-below-room-temperature drinks; our house is kept in the high 60s/low 70s so that’s fine by me. Only thing I require to be cold is milk.