Featured algorithms are on the homepage or these are good examples of the site:

http://www.algomation.com/algorithm/towers-hanoi-recursive-v...

http://www.algomation.com/algorithm/dijkstra-graph-shortest-...

http://www.algomation.com/algorithm/reversi-othello-engine-n...

http://www.algomation.com/algorithm/heap-sort-priority-queue