Here are some games that can be played in any modern day browser. You will not need to have Flash installed, as it runs on the browser itself, using JavaScript.
This is a game of solitaire where cards are arranged in 13 piles of 4 cards each. Try to get all the number cards in their own pile using 2 extra piles
This game is usually referred to as just "solitaire". The goal is to put the cards in order from Ace, 2, 3, all the way to King of the same suit. Make use of the primary piles and draw pile to organize cards.
Play a game of sudoku. It's still in testing, so please submit any (useful) ideas you may have about improving it.
Internet Explorer is not compatible at this time.