I generally just use the Comma branded stuff I have in a 0.5KG tub left over from my Landrover days.
However, the best stuff I’ve ever used is JCB branded blue lithium grease.
It is dead cheap, as digger drivers go through loads of it. its thick/sticky/waterproof and would be great for most bike related things.
There is a lot of crap spoken about grease by the bike industry (driven by marketing) a cheap tub of ‘automotive’ grease from the local motor factors will be just as good as a super-expensive little tube of brightly coloured ‘MTB Specific’ grease for pretty much everything bike related.
Note – I’m no expert on ‘cycle Engineering’ but can tell you that in my industry (Marine/Naval Engineering) we generally use the same grease gun cartridges for almost all basic mechanical applications, and the Royal Navy’s latest class of Destroyers only carry one grade of grease gun cartridge for everything.