L-functions and Random Matrix Theory - Conjectures and open problems concerning L-functions, focussing on the areas in which there has been recent progress using results from Random Matrix Theory. Maintained at AIM. - http://www.aimath.org/WWN/lrmt/
Unsolved Problems and Rewards - By Clark Kimberling. Offers prizes for solutions of some problems in number theory. - http://faculty.evansville.edu/ck6/integer/unsolved.html
Seva Lev's Problem Page - A collection of research problems. - http://math2.haifa.ac.il/~seva/problems.html
Mathematician's Secret Room - Unsolved problems in Number Theory. English and Japanese text by Hisanori Mishima. - http://www.asahi-net.or.jp/~KC2H-MSM/mathland/overview.htm
Advice to Research Students - Some tips for solving problems in number theory, collected by the Cardiff University group. - http://www.cf.ac.uk/maths/numbertheory/problems.html
Number Theory Conjectures - A collection of easily stated conjectures which are still open. Each conjecture is stated along with a collection of references. - http://www.math.umbc.edu/~campbell/Math413Fall98/Conjectures.html