Try:
http://www.latimes.com/games/
It has Crossword and Sudoku, new daily, and other games. For Crosswords you need to hold the Menu key down to bring up the keyboard (just once -- it stays up
), then tap the square to enter letters. Tap again to change from Down to Across. You can save your puzzle and finish it another time.
Site is a bit slow to load, but once loaded it is quick and fun to play!
Not recommended for PE because of screen size.
P.S. Thank you for the Fring apk, ptsenter!