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 
You can remove them whenever you want but i am more curious why will you want to remove those coins? One fact is that the coin might be worthless now but it is only "now". You never know when the real value of the coin will be in 1 years or few years down the road just like what happen to bitcoin