20000 litoshis every hour:
http://fairyfaucet-ltc.com/?r=LiQtZmL8yJNnBv2iqsV6DNo5AsDc7E89r2

10000 and more litoshis every hour:
http://www.cryptoblox.com/faucets/LiteCoin/?id=21344

1000 - 5000 every hour:
http://www.ltc-faucet.com/?r=LiQtZmL8yJNnBv2iqsV6DNo5AsDc7E89r2

1000 - 15000 every hour:
http://www.ltcfaucet.co/?r=LiQtZmL8yJNnBv2iqsV6DNo5AsDc7E89r2

12000 and more every 3 hours
http://ltc.rena-faucet.com/index.php?id=13508