Is it possible to remove tokens from dead projects/tokens that are totally useless and worth $0 from my wallet? Do I just send them to a random address? I don't want to burden anyone else with those shitcoins 
Majority of the coins won't recover, some are already abandoned I guess so I don't blame you if you plan to delete them off but you can't get rid of the tokens unless you sent them away to address you have to control over, but there is a thin chance that the token can someday brings reasonable value because it has happened in the past before so the choice is yours.