Making
- Would you like to come with me to....?
- Would you like to...?
- Why don't we ...?
Accepting
- I'd love to.
- Of course.
- Sure. That sounds great.
- I'd like to, but I'm busy that day.
- Maybe another day. I'm sorry.
- I don't feel like to.
- I'll take a rain check. (You would like to, but you really can't, so you want to move the invitation for another day.)