My family, when I was growing up, played a variation of Klondike solitaire that could be played competitively. (I know how that sounds, trust me. I've had a lot of time to think about it.) It is easier than the normal version. We called it Mirror Solitaire - I'm not sure but I think we learned it from another family, and made up the name ourselves.
To start, you turn one card over and then place six in a row next to it. This will be familiar to anyone who has played Klondike before. Then, you turn over another card just below the first card, and a second below the card to its left. Then you deal out five more cards. With the next row, you turn over three and put down four. Et cetera. When all the cards have been placed, you should have three cards left - this is the "reserve." We called it Mirror because the turned-over cards "mirror" the hidden cards.
As with ordinary Klondike, aces get played up, kings can be moved to an empty space (but don't have to be), you can move any card with its attendant pile to below a card one number higher but the other color, and the goal is to play all the cards in the deck on the Aces you have hopefully extracted. If you get stuck and can't do anything else, you can turn over your first "reserve card" onto the pile on the far left. The second card goes on the second pile. The third card goes on the third pile. If that doesn't help, and you're desperate, there's a variation where you can take out the three top-rightmost hidden cards one at a time.
Is anyone even following me here? Does anyone even care? It would be better with a diagram, I swear.
Anyway, where this gets interesting is that if two people play the game, with different-colored decks, sitting across the table from each other, you can put the Aces in the middle. Then both people can play onto the Aces. Whoever plays all their cards up first ("goes out") wins. Sometimes nobody can, and then the person who played the most cards wins. It's an interesting game and can get surprisingly fast-paced.
By the way, I'm completely uninterested in playing solitaire on the computer. The cards sliding through my hands is what I like about it, and creating order from chaos.