3/8 set at least through 19mm and 7/8 in SAE. Most 1/2 sets start at 10mm and 3/8 SAE.
As other's said, depends on the bolt and the torque applied to it. I've had need of a 1/2 socket on a 13mm bolt in the past. Big bolt, little head and had well over 100ft/lbs of torque on it.
The normal set sizes as I mentioned is a good starting point, but for reference, in the auto industry, you'll definitely do the high end of the 3/8 set regularly. Probably won't use the low end of the 1/2 stuff(10-14mm - 3/8-9/16) that often, but when you need it, you will be glad you have it.