Looking for Amp connector family name for connector similar to Molex Mini-Fit Jr
That's a big family.
Connectors like the Mini-Fit could be classified as follow;
Power Connectors  4.20 mm pitch up to 13A
Rectangular: Single, Dual Row, other, Wire-to-Board, Wire-to-Wire, Cable-to-Cable

Terminal

Receptacle

Plug  , Cap  ,

Housing (HSG)

Header

Locking, Double Lock, Triple Lock
std temp, high temp


Pitch: 3.3, 5, 6, 6.5, 6.6, 7.92, 9 mm

etc did not find much


But Search for 4.2mm found :
Mate-N-Lok, Val-U-Lok
https://www.te.com/usa-en/search.html?q=mate-N-lok&amp;source=header