Stable online question bank with reputation:
http://acm.timus.ru/ URAL
http://uva.onlinejudge.org/ UVA
http://acm.sgu.ru/index.php SGU
http://www.spoj.pl/ SPOJ - Poland's famous OJ, there are many good questions/ series, the disadvantage is that the machine is too slow
http://poj.org/ POJ --Hokkaido University
http://acm.hdu.edu.cn/ HDU - Hang Dian
http://ace.delos.com/usacogate USACO - Algorithm entry-level training questions (with algorithm explanation)
http://livearchive.onlinejudge.org/index.php ACM/ICPC Zhenti
http://oj.tsinsen.com/ Seio Orange OJ
http://acm.hust.edu.cn/vjudge/toIndex.action vjudge - A collection of major OJs
http://projecteuler.net/ Very loving math/algorithm question bank
Online algorithm competition website (also available as a question bank):
http://community.topcoder.com/tc Topcoder
http://codeforces.com/ Codeforces
http://www.codechef.com/ Codechef
http://main.edu.pl/en POI and other competitions
http://ace.delos.com/contestgate USACO Monthly Contest
http://code.google.com/codejam Google Code Jam