My favorite cheesy lines:
"Do you sleep on your stomach? Mind if I do?"
(get a little condensation from your drink on your finger and lightly touch her shoulder).. "We've got to get you out of those wet clothes".
"Do you wash those pants in Lemon Fresh Joy? I can see myself in them".
Disclaimer: I would never say anything this cheesy to a lady. However, it's a lot of fun tossing them out once you already know someone a bit
