Of course everyone wants a huge SSL console and a bunch of quality outboard. But the reality is that you don't need that to produce quality work.
If it were me, I'd get a FireFace800 and another 8-ch preamp unit to go with it like a Digimax FS or similar. Or a pair of 2626's if you need to save some money but I would recommend the FF be a priority. I love my 2626, using it with a MOTU 8Pre for my extra 8 inputs. Used to have a Behringer ADA8000 as well for trigger input but I don't use triggers any more, plus it died a long time ago.
Cables I would make them myself since they would be cheaper but better quality, getting the components (cable, connectors) from RedCo. Also, get EXTRA just in case. 2-3 sets of extra male and female connectors, and like 5-10 feet more than you calculated on the cable.
Gotta have at least one SM57, pair of NT5's at least (I would prefer Oktava MK012) for overheads, SM7 which does double duty for vocals and hi-hats, a D6 for the kick, I prefer the e604's to MD421's on toms and they happen to be cheaper, plus they come with rim clips so you can save on stands here (or just get 4-5 more SM57's for this) - AND/OR a set of Roland triggers (I prefer them over the DDrum Pros).
Stands, just don't get cheap shit, you will regret it later and it's just a waste of money. Stands and cabling should cost several hundred, at least, for good quality stuff that will last.
DI - gotta be a Countryman Type85, or you can go with a RedEye and get a quality DI and reamp in one.
Monitors, can't go wrong with the Yamaha HS80m.
Computer... well, for me, nothing other than a Mac for audio, but you definitely save money going the PC route, that's up to you/whoever.
This is based on the hypothetical $6k budget, which I'm not sure my suggestions fall under but everything I listed would be a minimum requirement, for me.