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 think it's right to delete useless or worthless coins from your wallet. These useless coins may become valuable again at any time in the future. So if your wallet seems more uncomfortable, you can make a new one and use it, and keep the old one safe. Thanks