http://www.geometer.org/mathcircles/" 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" 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" website is also good.
Also, if you search for induction problems on the web, search for "mathematical induction" rather than "induction"
In case the links do not show up, the websites I mentioned are:
http://www.geometer.org/mathcircles/
http://www.cut-the-knot.org/induction.shtml
http://nrich.maths.org/public/viewer.php?obj_id=4718