Fermentation:
Food grade buckets - just a racking bucket or whatever else you can think of to use them for but its nice to have a few around.
Siphon - I got an auto-siphon but its not necessary but a nice thing to have
Funnel - a large funnel to pour into your keg or whatever kind of boiler you are using.
Hydrometer - Cheap ones will work just fine but getting your Specific Gravity correct is important. Get one with a glass cylinder as you can use it for both your hydrometer and alcoholmeter.
Mixer - the mixers designed for paint that you attach to a drill work great.
Sanitizer - When cleaning your fermentation bucket or carboy or even your racking bucket it can't hurt to have a sanitizer. Lots of online stores sell sanitizers for this purpose. Not required but couldn't hurt
Air Lock - 3 piece or the 1 piece "S" type whatever your preference
Stock Pot - A large 3-5 Gallon pot. For inverting sugar, boiling a mash, clarifying molasses, whatever you use it for get one. Your wife will thank you for not using her pots for this.
Grinder - A grain grinder for obvious purposes
Thermometer - if your wash or mash is to hot it will kill the yeast so having a thermometer is always nice to know when you can safely pitch your yeast.
Ferment Heater - There are tons of different ideas for this on here but having something to keep your ferment temps where they need to be.
Digital Scale - To measure out all your grains (thanks Rivver)
Patience - Can't be purchased but need to keep a bulk supply on hand
Distilling
Collection Jars - the size is a personal choice but having a dozen or two collection jars is handy. Especially for learning cuts. The Novice Guide to Cuts thread has some great info on collecting in multiple jars to learn your stills cuts.
Feints Storage - A glass carboy or a couple gallon jugs or growlers. Whatever you choose a feints storage system is needed. If your collecting for an all feints run or just saving some heads and tails for flavor of your next run.
Alcoholmeter - As mentioned above use your glass cylinder and proof your likker
Storage & Aging
Jars - Something to collect all your hard work in and age it or flavor it
Filters - A lot like to use coffee filters or cheese cloth but something of this sort to filter out any pieces and parts after aging
Padlock - If your like me and have kids then having someplace to store while you age that you can lock up to keep the kids out of it is a good thing.
More Patience - Stay the hell out of it till its aged!

Misc.
Bottles - If so inclined you can bottle it up all fancy.
Friends - You probably shouldn't drink it all and its not gonna drink itself
Patience - Did I mention this yet?
Fun - comes standard
Like I said I don't wanna get to specific into a lot of things cause it varies to much on what your making and what your setup is. Just a shopping list of extras. I'm sure there are things I haven't thought of and feel free to comment and I will add them to the list.
Happy Distilling
