Most 225 amp arc welders are refering to the AC amperage and if they switch to DC the rate is lower. DC will run better with a larger selection of rods. That being said, about the smallest stick rod is 1/16 which can weld some fairly thin stuff like exhaust tubing with a little patience (because of the increased heat it will distort thin metal more than the smallest .023 solid wire mig ) and a 225 AC machine can run 1/8 or 5/32 rod and using multiple weld stringers you can weld some pretty heavy pieces over an inch thick. With more power you can run rods as large as 1/4" and make some huge welds. Lots of types of filler metal available. Super easy to go from type to type. Stick the rod in your stinger, adjust machine and weld.
Mig (wire feed) there are 3 basic types of wire.
Solid. Usually smaller diameter from .023 up to .035. These need a shielding gas (Co2, argon or a mix) and produce a clean weld and can do some very thin pieces, but will not make a good weld on anything over 1/4 thick as they are so cold that they do not penetrate deep into a heavier piece that sucks up the heat. Many types of wire available including aluminum. (The samller machines will really have problems with aluminum)
Flux core. The down and dirty of wire. Has flux in center of wire. Wire of course is larger to carry this. Not as many wire types available a will not make as nice of weld deposit as the other types. Weld needs cleaned to remove slag. Will not weld as thin a material as solid wire, but with a large enough machine you can do huge welds. My LN 25 with the solid wire gun can run 3/32 wire and put down some big honking welds
Dual shield. This wire has flux on the inside and shelding gas on the outside. Makes a nice weld fast. Need slagged but, not heavy slag coat. For heavier welds. Usually from .045 to 3/32 wire. 3/32 flux is huge and hot/ You can lay down a bead that will fill a 3/4" deep and wide V. It will glow red for several seconds after you finish. It will light your clothes on fire. I have never seen it run up hill. .045 will make weld on stuff from 1/4 up and you can run it uphill. They make automatic machines that can make monster welds with dual shield.
Tig. This method uses a torch that holds piece of tunsten rod of various diameters and has a ceramic cup around it that an inert gas (usually argon) flows thru to keep oxygen away from the weld. Super clean welds. Very fine control especially with a foot pedal to control the power while you weld while using a water cooled torch. There are guys that can actually weld 2 gum wrappers together with these things. Almost any metal can be welded with the right tig setup. The most difficult process to master well as you need to feed the filler metal with one hand while running the torch with the other. You can heat stuff up and melt with the torch with out adding filler which is not possible with the other types of welding.
Aluminum is almost impossible with AC stick. There is DC aluminum stick rod. It is very difficult to weld with and dirty. Most wire feeds will run aluminum after a fashion. Jamming a lot and being a pain, you really need special drive rollers, the shortest whip possible, a large liner and a slightly over sized tip to have much success with a regular wire feed on aluminum and it will still jam a often. Spool guns work much better. They are small wire feed units that the wire feeds that attach to a parent machine and hold and feed the wire right at the tip. There are also expensive push pull units that have a coordinated drive at both the machine and the tip. The best aluminum welds are tig and that requires a high freq power source or converter.
Sub arc. The monster of welding. Automatic machine feeds huge wire while covering the puddle with flux (usually supplied as powder)
Usually the bigger the beed the more stresses you induce into the weld area.
Ramble ramble ramble