Originally Posted by Sea
Assuming you already have the equipment to brew extract or PM, You will need:
1. A pot about 7.5 gal or bigger for full boils
2. A mash tun
3. A means to chill 5.5 gal of boiling wort quickly (wort chiller)
4. Aeration equip. though shaking the crap out of the carboy, and transfering from the brew kettle rather noisily can work
5. A lot of research, and preferably some brewing software
Pretty good list for a starting AG setup. I don't think aeration equipment is really necessary but it would save time and effort. I use a pitcher and repeatedly pour the wort back into the bucket from a height.
A good solution for the MLT (Mash Lauter Tun) is a 10gal round cooler, Kewler Kits bulkhead and ball valve and a stainless steel braid off of a water supply hose for a toilet or sink. This "kit" is easy to put together and fairly inexpensive. There are a number of other coolers that also work well, just make sure they have a drain that you can replace with the bulkhead.
Brewing software really helps when logging your steps and when making adjustments to water volumes, temps and grain amounts. I find Beersmith to be invaluable in my brewing though I see how you could get away without it.