Spider Solitaire Rules. Objective. Spider Solitaire is a solitaire game where the objective is to order all the cards in descending runs from King down to Ace in the. Spider Solitaire - play this immensely popular and fun solitaire game here. Spider Solitaire is an immensely challenging free online solitaire game, that is. Play the Official AARP Spider Solitaire game, free on AARP games. You must be skilled at manipulating the cards you re given. Overcome challenges and bad.