If you can find one, there are also Manhurin made commercial pistols made up of left over WWII and post war commercial components. There are also other commercial variants made under license from Walther.
The steel frame versions are superior IMHO. I've had several different martial as well as commercial variants in my safe and on the range at one time or another.
P1 pistols are for the most part mechanically identical but not intended for the same rough and continuous use as their steel framed counterparts.
If you don't shoot much, the P1 will work fine for you but may feel a bit nose heavy and slightly more difficult to point. In my experience, they function fine with proper ammo but none of them were as accurate as my steel framed models.
I no longer own either a Martial or P1 variant. Some folks consider the P1 to be a martial pistol but it was only issued to police forces as far as I know.
I do own a Manhurin commercial post war mixmaster whose components were made at their factory. It's a mix of commercial and martial parts, shoots better than any other P38 variant I've owned and is less fussy about ammo.