As far as I know the only worthful faucet platform right now is Cointiply. You can earn there by doing tasks, surveys and running apps on your mobile device. The good news is that every countries have access to at least few surveys daily there, different from most platforms I've seen which don't give any chances for third world countries citizens to earn by doing surveys.
Cointiply also pays daily interest over users' balances and run different bonuses and promotions from times to times. Without referrals nobody is going to make a lot of money from this site, but it's still a lot better than anything else disponible right now. As OP is looking for a way to accumulate btc without buying it, that is an alternative.