I think Litecoin is firstly more estabalished with new features being introduced along the way like the Pay feature in addition to better acceptability & recognition vis-a-vis NEO (as of now) and should touch $1000 in 2018 before NEO.
Whats your view...
I think both of them are promising altcoins for the future. But in my opinion, the popularity of neo is rising more faster than the popularity of litecoin. I think, neo is closer than litecoin to reach $1000.