QUAI is supposed to be giving rewards out for retweeting their content on X. Q Blockchain had several zealy campaigns that they paid out. They gave free tokens to discord community members before and will probably do it again soon. They are releasing a faucet where you can collect .1 Q per day. They have a bridge incentive where if you bridge from Ethereum you get 5 Q plus a bridging bonus of up to 1500 Q and they are running a Saving and Borrowing campaign where they are giving away 333k+ Q to the community. Those are the two best ones I have found so far.

I did the shardeum one, lamina1 etc. and got nothing so far.