There are only 2 sizes of jar mouths, standard or wide. Most of the jars come in both mouth sizes. If you have a jar, I would measure across the opening. if it is roughly 2 1/2 across you need standard. If it is approximately 3 inches, you need the wide mouth.
I regularly shake things in my jars with these lids and I would say they DON'T leak about 95% of the time. Which is to say that every now and then there is some leakage - I think one of my lids is just "bigger" or sits "looser" than the others.
Regular mouth lids will fit all capacities of regular mouth jars, and wide mouth lids will fit all wide mouth jars. Just check which type of mouth your jar has to know which type of lid to buy. (Pint jars could be either type of mouth.)