Graviex exchange offers wide range of coins for new or not very known projects. There are also favorites like Doge, Ltc that are offered for free but amounts of those are low.
GIO coin is most interesting as this is a coin of the Graviex exchange, there is an option for a dividend, 10 GIO are free on daily basis from the faucet.
There are also coins that can be withdrawn to stake. There are articles from Publish0x about TZC coin.
There is also a referral program. Please feel free to use my link: Graviex. The details of referral program are here.
Registration is free with email, no KYC. Trading and most of features require Two-factor authentication, which I think is ok.
There is no need to collect all free coins, thus is fairly impossible as many require capture. Visiting site daily, getting some coins and trying different blockchains - this is great for beginners and require no investments.
As always do your own research, read more sources and have fun!