http://www.geometer.org/mathcircles/" [Broken] has two papers with induction problems. One introduces induction, and one is just a collection of practice problems.
Scroll way, way down, the link is near the bottom.
It also has discussions and papers on other topics and I have found it quite useful.
Otherwise, you could do a search for "past olympiad papers". Questions from math olympiads can sometimes be solved with induction.
http://www.cut-the-knot.org/induction.shtml" [Broken] is another article on induction, which has got a lot of examples at the bottom of the page.
Although it doesn't have that many examples, http://nrich.maths.org/public/viewer.php?obj_id=4718" [Broken] website is also good.
Also, if you search for induction problems on the web, search for "mathematical induction" rather than "induction"