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 would advice against deleting coins from your wallet. Sure you could ask the admin to remove them for you, but why? They don't hurt you and might even be used again in the future. We never know if an old project might get pushed again. And maybe your coins become a lot more worth again in the future. So if you really need to get rid of them, just try to sell them or as them to be removed.
What admin are you talking about that can delete token on his wallet? There is no way that a token can be deleted on his wallet unless the creator coded the token to self destruct via smart contract. But technically there is no delete function on crypto wallet for the shit token unless he sends it to blackhole address just like what the typical crypto project do b when burning token.
This topic should be locked since the OP already received enough answer for his question.