A fun way to make player characters might be for each player to first generate their character’s parents as NPCs, and then the character inherits their abilities from them.
Use one of the less generous methods to create your character’s parents. Instead of rolling 4d6 and dropping the low die for every ability–or whatever other method you normally use–roll 3d6 seven times and drop the lowest roll. Assign these scores to the parents’ abilities and give the parents names.
Now select three scores from papa and three from mama for your character to inherit. If the resulting character doesn’t have any 15s or higher (very common in my tests), boost the highest score to 15.
Since this is essentially best-6-of-14, it virtually guarantees no bad scores. But it would be quite unlikely to get a particularly overpowered character.
Let’s say your first seven 3d6 rolls are 8, 13, 11, 13, 5, 8, and 11. You would drop the 5 and assigned the remaining scores to your father’s abilities. Then you roll 6, 13, 11, 14, 11, 10, and 13. You drop the 6 and assign the remaining scores to your mother’s abilities.
Now you have two parent NPCs. You get to inherit the best from each of them, or 14, 13, 13, 13, 11, and 11. Since none of these is at least 15, you raise the 14 to a 15 and assign these scores to your abilities.