Retsami is an abstract game from John Wildsmith. His site has the usual hoopla about how wonderful the game is, but it looks decent enough.

The board is 9×9 in a spiral. Move any number of spaces around the spiral without overtaking or turning more than one corner. Capture more advanced counters across the spiral orthogonally or diagonally. Re-enter lost counters onto the board in the start row. First to reach the center wins.