Assuming we do the any% route first:
Tips: for faster loading times, exit back to menus instead of driving to City Transport whenever you change cities or vehicles for restricted races if you already prepared them.
Start with the Dodge SRT-4 ($21,450). Complete the initial race, then do Vanessa and Bishop (skip Carlos for now), with the City Tournament for the Lexus IS300 being done in between. Sell SRT-4 and upgrade IS300 to level 1 (if you can), then defeat Phil. Vanessa will later return for a rematch, defeat her.
Then open Atlanta, beat the following racers: Dre -> Cheng -> Roy -> Lamont -> Roy II with either a fully upgraded IS300 or any Class C Tuner (you can sell the Cuevito you won from Phil to be able to afford the C-Class tuning icon). Skip Vito and Naomi, we will just revisit them post-US Champs.
When Detroit is open: Defeat all Detroit Racers, namely Spider -> Kioshi -> Roy III -> Leo -> Angel -> Ceasar I -> Ceasar II. Recommend any C-Class tuner car with max upgrades (as their performance is the same as a level 1 Class B), since you need the money for an A-Class exotic If you unlock Class A vehicles in between, make sure the total vehicle value must be at least $250,000 to stand a chance.
Alternate route for REMIX 100% (though club races pay less): Start at Leo -> Ceasar I -> City Tournament -> Tokyo detour for the By Invitation Only tournament -> Do all By Invitation Only Club Races with the '98 F355.
IMPORTANT: Make sure to have the '95 McLaren F1 LM or Chrysler ME Four Twelve before proceeding below.
Start the U.S. Champions route by beating Detroit racers (Roy, Kioshi, Ceasar)
Proceed to Atlanta (Angel, Lamont)
Then finish the Champion series in San Diego (Spider, Vanessa)
Start the SD Cleanups portion (Do the SL55 tournament first if you beat Vanessa last, then with the F1/412, use it to do cleanups (including 300C tournament and Carlos (+Bel Air tournament) (exotic club races if F1 route).
Proceed later to Detroit and do the Bad Boyz Tournament and City Tournament (F1 route only). Do whatever is nearer to Vince's garage.
And later head back to Atlanta for the ATL cleanups (Exotic club races, Escalade EXT tournament, Vito, Naomi, SS1000 tournament).
With all F1/412-eligible races now done, now, buy the Club-specific vehicles and max upgrade them, Recommended vehicles are:
Tuner: SR/Viper GTS-R
Muscle: Any Class B (the best option is the 1981 Chevrolet Camaro)
SUV: Gemballa GT750
Sport Bike: Aprilia Mille Factory or Ducati 999R (Factory has better performance and cheaper)
Chopper: Hotmatch D'Elegance (though any B-Class chopper works)
For Luxury, use the Mercedes SL55 you won from the tournament earlier.
Do all club races, in any order, the Career ends when you win the Cadillac Sixteen.
Tokyo:
Do the By Invitation Only tournament for the '98 Gemballa F355, then do 34 purple races, and do the Imperial Palace Tournament when it opens. Chrysler ME Four Twelve or McLaren F1 LM recommended.
For each Tokyo tournament, use the following vehicles:
By Invitation Only/Imperial Palace: McLaren F1 LM or Chrysler ME Four Twelve
Unbeatable Street Racers/Asakusa: Nissan Skyline GT-R R34.
American Royalty: Use whatever B-Class muscle you used for the American Royalty.
Chopper: Use whatever you used for Chopper of America.
Luxury Rollers/Wharf: Mercedes SL55 AMG
Ginza: Lexus IS300 (if you kept it, otherwise, Infiniti G35 (if Luxury Tournament was already won) or Cadillac CTS-V)
Original Riders: Aprilia Mille Factory.
Big Playas: Gemballa GT750.
Run ends when you have won the Cadillac Sixteen and unlocked the Tokyo Police Car