The best site for LTC/BTC trade is
Btc-e.com. I'm surprised to see that no-one mention it yet. I don't really get why people suggest you low volume, untrusted sites. Btc-e is your best bet.
Agreed BTC-e is a great exchange and is the best for LTC volume. Shapeshift.io for small volume works amazingly well. Also people will say that BTCe is some how shady - all exchanges are shady, but I actually trust BTCe over most.
I agree! People say people behind BTC-e are anonymous and hence, we can't do anything if they steal. So they are less trustable. However, I don't understand how revealing personal information makes someone more trustable than an anonymous person, at least, history says so!