Try the "Super Munter" for lowering big loads
The illustration and video in this article come from the excellent website RopeLab, run by Australian rigging expert Richard Delaney. RopeLab has a ton of great material for anyone who wants to dive into ropes, rigging, and mechanical advantage, check it out! There's a fair amount of quality free information, but getting an annual subscription unlocks the entire website. You can also connect with Richard on Instagram and his YouTube channel, where he has loads of concise, informative videos.
A variation of the Munter hitch is the "Super Munter", which adds a lot more friction and therefore control over your rope. It may not have much application in day-to-day climbing, but in certain situations, it is a very useful tool.
On a larger diameter rope, lowering extra heavy loads like haul bags or two people at once
On a smaller diameter rope, lowering a person or rappelling
Rappelling on a single strand, in any situation where you may want increased friction
I know, I can hear you now: “What about those evil twists that come from using a Munter hitch!?” Believe it or not, the Super Munter knot actually kinks the rope less, as one part of the hitch puts a kink in, and the second takes it out. (Granted, kinks in your rope it will probably be the least of your concerns if you use this during a rescue scenario, but it’s still a side benefit.)
Knots are always a better show than a tell, see the image below.
(Note in the image below, the brake strand ends up on the gate side, which is not optimal for a Munter hitch. If you tie it like this, be sure the brake strand does not rub against the carabiner gate.)
and here’s a video showing lowering 600 pounds with a super munter. (Starts at 2:30)