I've gotta agree with Parnelli's advocacy of the Silvia or 240SX. Both are stable, mild cars that can let you iron out your driving skills with little worry of car quirks. It wouldn't hurt to test your skills on a compact, technical course like Tsukuba to get used to finding The Line, cornering dynamics (such as entry, apex and exit) and overtaking within opportunity (track meet works well here).
I too think that Tsukuba is great for honing your skills and testing your set-ups.
A few more cars that I think are ideal for beginners would be a MINI Mini One for a front drive, A BMW 120i for a rear, and to get the feel of a mid engine car without having to deal with the super cars, an '85 Toyota MR2. All three will make for fun learning at Tsukuba.
For learning Nurburgring I used the '62 Lotus Elan. It's grip is so tenacious you can concentrate on the track and not the car. Get the sport exhaust and it's a glorious learning experience.
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There's not one little bit of that that I can disagree with. However, I would like to offer up some alternatives that may be a bit easier on the wallet (considering that we're discussing a beginner...) as well as being my favorites.
RWD: Mazda Miata; the '89 version in the used lot is VERY cheap, yet this is one of the most agile (although underpowered) little spiders in the game, with the notable exception of the aforementioned Elan. If you don't drive like a maniac, it should never get away from you, which will help you identify driver errors.
FWD: Autobianchi Abarth (won from Sunday Cup) or VW Lupo (won from B-License, all bronze); you can't beat the price of a free car, and these two light, agile FWD's will quickly teach you how to make the most use of diving into corners, as well as when to get into the throttle on exit (when the wheels are mostly straight). Not terribly powerful, but that's not what you need when you're first getting started.
Mid-Engine: I got nothing. The MR2 is a great suggestion, and it's dead-on in my book!👍
4WD: There is a Subaru Impreza Sedan (WRX, Version IV) for sale from time to time in the used lots for a paltry 10K (check the guides for dates). These tend to be very good 4WD's, in general, and the power shouldn't be too much for you, especially with it's 1250kg curb weight. Prepare for some understeer while grip-racing, though.