A popular series of competitive racing games for the arcades by Sega, based on the manga and anime series Initial D.Currently the latest installment of the series is Initial D Arcade Stage 7 AAX. There also have been a few console releases, though in Japan only: Initial D Special Stage for the PlayStation 2 (based on Initial D Arcade Stage Ver.2), and Initial D Extreme Stage for the PlayStation 3 (based on Initial D Arcade Stage 4).
These games provide examples of:
Battle Aura: Get enough wins and you'll get one, with the color changing as you get more wins. If you have the second-to-best aura, a white aura, and get enough consecutive wins, you'll earn a rainbow aura. Break your win streak and it reverts back to white. However, this, along with other features, has disappeared from the English-language version of 4.
6AA brought this back (level the card up enough to get them), but you still have to play online mode to get two of the top auras.
Bonus Boss: Bunta challenges you to a free battle after clearing one loop of Legend Of The Streets mode. Whether you win or not, the credits will roll afterwards.
Damn You, Muscle Memory: Players used to other racing games will generally have a tough time getting used to Arcade Stage's gameplay, especially if they're fans of the simplified slides of Ridge Racer-esque games; it doesn't help that for a series famous for drifting, for the first few versions of the game cars technically can't even drift. The series itself exhibits this as well, with changes between versions ranging from slight differences in car handling, completely new physics engines, and even the location of the physical shift knob on the cabinet.
Tsuchisaka Outbound in Version 3 starts off fairly simple from the start right up to the end of the long straight tunnel to a literal rollercoaster section from there to the finish line.
Tsukuba in 4 and 5 goes from "fairly nice and easy" in sections 1 and 2 (assuming you're going outbound) to "oh crap what the hell is this" in sections 3 and 4.
Easy-Mode Mockery: Using automatic transmission on most tracks won't get you record times. The game's AT doesn't shift at the ideal shifting points either.
Worse yet, if you're using a card, you can only change transmission on card renewal, which is every 50 plays. In Initial D 4 and 5, you pay to change transmission, which makes more sense from a realistic point of view but is still kinda annoying.
Extremity Extremist: The Hachi-roku's forte is downhill racing. The RX-7's forte is uphill racing. Both the RX-7 and the RX-8 excel in dry conditions, while the R32 Skyline GT-R is a beast on wet pavement. The Celica GT-Four excels on Akina Snow, but can be very difficult to handle.
Final Boss: Takumi, in every single Arcade Stage installment.
Genre Popularizer: Though not the first of its kind by a long stretch, it's the game that brought the multiplayer arcade racing game scene to competitive levels on a worldwide scale.
Green Hill Zone: Myogi in Initial D Arcade Stage, Lake Akina in 4 and 5, Usui joins in in 6AA.
Jack of All Stats: The Lancer Evolution and Subaru Impreza are both newbie-friendly and can take on all tracks in any orientation decently... just don't expect to set course records.
Joke Car: The AE85 Levin and the Prius; averted that performance-wise it is not really that different than the others.
The Cappuccino is the most difficult car in the game, with subpar acceleration and god-awful handling. However, it was also the lightest and fastest, and once mastered, can beat every single car in the game in terms of setting fast times.
The Cappuccino ended up becoming a Joke Car in 7AAX.
Shomaru in Version 3. The single-lane road makes passing opponents extremely difficult. In addition to that, it has very few straights, if any, at all, making for a grueling racing experience.
Recurring Boss: Takumi in Legend Of The Streets Mode. He first appears as a Warm-Up Boss on Myougi (Ver. 1-3) or Lake Akina (4 and 5), then later he races you for real on Akina, then he becomes a Final Boss on the last course of the game.
In 6AA's Legend arc, Takumi can still be considered this since he is consistently on the higher level of difficulty while the other racers (Rin, Ryousuke, even Bunta) is not.
Rubber Band A.I.: The "boost" feature. Often turned off in human vs. human matches.