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 
I don't advise you to delete them or send them to other addresses, you may find that they are useful in the future when the development of the coin project continues, if you send them to another address, you will only lose fees and the presence of these coins in your wallet does not cost any risk, so you should not hurry and hold them because you do not know what will happen tomorrow.