Really any grease for machines and gears will do, lots to choose from - I think people are overthinking this but hey, you spend your own money. Maintenance is key, no magic grease will keep an unmaintained car healthy.

With that out of the way, I use a red Total Moly grease in a tube (super cheap!) for closed gearboxes, and some grease in a spray-can for open type gears (for easy access).