I've been playing the Schlieman Defense lately, 3 ... f5. Still learning it, but it's working OK. A lot of times White gets it wrong...
The Ruy Lopez
Schliemann Defense is probably the worst Black response to the Ruy that I can think of. Anyway, these are the standard first few moves of the Ruy... I'll put a couple of important lines in the Move List too.

As someone who doesn't play 1...e5 nor 1.e4, I'd suggest the Marshall (if you're playing against the Ruy Lopez):
As White, you can look to avoid it by not playing 8. c3

All of the above postings are solid, the schielmann isn't quite sound but your level it's completely playable. Here's another good response that works really well at the U2000 level.

Against the Schliemann, I find that playing the immediate Bxc6 is very annoying for them. It transposes into an exchange variation where Black has the worry of an isolated e pawn as well as an awful queenside pawn structure.
Thanks for the suggestions guys. I'll definitely try these next time someone pulls the Ruy Lopez on me. I don't like this opening. I also know of a great trap you can pull on someone if they do play the Ruy Lopez.
Against the Schliemann, I find that playing the immediate Bxc6 is very annoying for them. It transposes into an exchange variation where Black has the worry of an isolated e pawn as well as an awful queenside pawn structure.
The mainlines after 4.Nc3 fxe4 are just good for White though, if you know them.

Against the Schliemann, I find that playing the immediate Bxc6 is very annoying for them. It transposes into an exchange variation where Black has the worry of an isolated e pawn as well as an awful queenside pawn structure.
what if they recapture with the b pawn?
then d4 leaves white with control of the center

This is all bad for you and complicated. Maybe, if you want to play Ruy Lopez, it is best for you not to risk much and it is easy to understand ideas in Ruy Lopez Exchange variation. e4-e5/Nf3-Nc6/Bb5-a6/B:c6-d:c...here you have several moves. You can try with d4-e:d in order to make extra pawn on Kings side, Q:d4-Q:d4/N:d4 exchanging the Qweens makes position simpler....

I play the Ruy Lopez against 1...e5, but I rarely find people that want to play it as Black.
Most are trying to find a way -out- of the Ruy Lopez, trying surprise moves like the Schliemman or the Cozio defenses.
I play it because one of the first books I bought to study chess, has a very detailed explanation of the plans for both sides on this opening, and that helps me navigate through the sea of variations that arise from it. I still fall in the ocassional tactical pitfall, but that's what I like about it. It can go so many ways, it's not like other openings where only a few lines are viable and everyone plays them as they get trendy, Sicilian Kalashnikov to name one.
Hey, I'm wondering if any experienced players can tell me how to play with the Ruy Lopez opening. I've heard of the Berlin Fishing Pole Trap, so I know to watch for that. Can someone please post some games showing what are good moves to follow up the opening?