Rolling up a character with the boys (they're impressed by my new method)
Each player generates their ability scores in order using 3d6 - totalling them as usual. However, of these 3d6, two dice are the same colour and the third is of a different colour. This third die is your 'lucky die'. Whenever an ability score is rolled for and the lucky die results in a 1, it can be rerolled once - if it results in another 1 it cannot be rerolled again. Only the lucky die can be rerolled in this way. All ability scores are rolled for via this method, when complete, two ability scores may be swapped with one another.
This method is fun enough, quick and does away with most (but not all) ability scores of 3 and can even turn 13's into 18's. The method results in similar average ability scores as rolling 3d6 alone does.