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.