Probably more info than you need -
All variants of the 7408s are the same logic but there are variations in power consumption, current drive and speed. Suffix of part describes some variations in package such as surface mount versus Dual Inline Package (DIP). "N" and "P" are usually Plastic DIP.
7408s from all manufacturers is obsolete. Odds are that Chinese ebay parts will not be genuine 7408s and will be remarked 74LS08's or 74HCT08's.
74LS08 consumes less power but cannot drive as much current as the 7408. Texas Instruments SN74LS08N is still made.
74F08 (or 74S08) consumes more power, is faster and can drive more current than the 7408. The Texas Instruments SN74F08N is still made and fairly inexpensive. The European manufacturer of 74F08s (NXP - N74F08N) has discontinued these - I bought up a couple cases when they went onto last time buy.
74HCT08 is a very low power version of the original 7408 with very low current drive. Cheapest of the 7408 type gates.