It depends on the stamp.
I use a lot of CTMH (close to my heart) type products, and they do a huge amount with stamps. You can look at some of the ideas on their website or books to get ideas (the books are Imagine, Cherish and Reflections - all by Jeanette Layton (sp?) - also give some examples in their layouts) - Micahels sometimes has their books, so you can flip thru to get ideas without buying them.
So, I have stamps with different sayings. I may put them on a different color card stock and then add to a page to give it dimension (this also helps if the stamp doesn't turn out the first time, since it's not directly on your page).
I have different elements I may stamp on a page instead of a sticker - such as zoo animals, train, etc. for some kids pages. I have Disney type stamps - not exactly Disney, but things that work for Disney like the castle and some ride type stamps.
One of my girlfriends "creates" her own paper - she's start with plain white, and then use a stamp repetatively across the page to "decorate it" - like a stamp of a birthday cake, etc.
You can stamp in a single color, or you can use inks to add color to the stamp and make it a multi-color element.
Good luck, and have fun!