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 also want to get rid of these shitcoins. But I think about gas fees.
If you want to remove these dead tokens just send them to burning address.
Burning Addresses
Ethereum : 0x000000000000000000000000000000000000dead
Tron Blackhole Address: TLsV52sRDL79HXGGm9yzwKibb6BeruhUzy
Binance Chain: bnb1ultyhpw2p2ktvr68swz56570lgj2rdsadq3ym2
To burn or remove tokens you need to pay gas fees. Now gas fee is higher on Ethereum Network. So why to pay gas fees for those shitcoins. It's better to untick tokens from you Wallet.