Avoiding the typical oxy/gas setup, I present to you my (former) Lincoln 225. I traded some tractor grading work for this 30 years ago, and it served me well for several projects and repairs.
Sold and replaced only due to a free P&H monster from a neighbor, complete with near 100' of welding leads the size of your thumb. I can weld across the street should I need to. The top "crank to get the amps you need" is kinda fun to spin around. Two separate lead inputs gets you high or low settings, with the finer adjustment in the crank.
Adding to collection roundup is the MIG. With no training, other than walking into a welding shop and saying "hey, I want to learn about MIG welding", I embarked upon buying a few used units, and flipping them until I found the one that suited me well enough to build a cart, and stick with it. Thus the Lincoln 180HG (far right) which has never let me down. I run the big spools of 3 different sized wire, where those can often be picked up on cheap at swaps, because most folks can only run the smaller spools.
I tried TIG on aluminum while touring a manufacturing facility, and failed royally. I have a local friend-welder-extraordinaire that does that work on the rare occasions I need specialty metals welded. Right now he is putting a new tip on my Mitutoyo dial caliper that I dropped on accident and broke off the measurement depth tip. That was a sad day.