There are many sizes of faucet aerator threads. You can get an idea from the picture of the thread gauge below that you will typically see at a better equipped hardware store where aerator units are sold. (In my experience typical for a USA hardware store. Your situation may vary depending upon your geographical region).
The thread gauge above supports the following thread sizes:
1/4-18 (M)
1/4-18 (F)
3/8-18 (M)
3/8-18 (F)
1/2-27 (F)
1/2-IPS (F)
9/16-24 (M)
5/8-18 (M)
5/8-24 (M)
5/8-27 (M)
11/16-24 (M)
11/16-27 (M)
3/4-11 (F)
3/4-27 (F)
13/16-20 (M)
13/16-24 (M)
13/16-24 (F)
55/64-27 (F)
15/16-24 (M)
15/16-27 (M)
*(F) Denotes stud used to determine female thread size
*(M) Denotes tapped hole used to determine male thread size
Add in metric sizes from other parts of the world and this list is likely to grow considerably.