When I first bought my Motorola Droid X, I was bummed to find out there wasn't a Words with Friends app. Then I found the Wordfeud app for Android. It's the same premise as Words with Friends, heavily influenced by popular board game Scrabble. Plus, the design and color scheme is much more modern, and it is so much easier to play on the big screen of the Droid X than on my iPod touch.
Wordfeud also offers play using the English, English International, Danish, Swedish, Norwegian or Dutch dictionaries. You can play on a normal tiled board, or pick a random one. Random scatters the triple letter and double word score tiles.
Pick an opponent to challenge, or look up a friend. The game also has a chat function, so you can flirt with or trash talk your opponent, depending on how you like his or her thumbnail picture. Play up to 30 games at a time.
When I first downloaded the app, the games expired if you didn't play after a day or two, but the new version gives you 72 hours to make a move. You can also set a custom ringtone to go off when it's your turn to play, making it easier to remember when it's your turn. Or, set it to vibrate so you can catch up on a game during a meeting at work and not disturb anyone. You can also turn off the notification if it annoys you.
If you still aren't convinced, try the free version of Wordfeud first which includes advertisements.