I wasn't planning on including this at first, but since like due to Lucy Gray Baird in the Ballad of Songbirds and Snakes basically making it canon that Careers didn't start appearing until sometime after the Tenth Hunger Games (when exactly I'll let Susanne Collins decide and then do an edited version of this fanfic and its sequel to match canon), I might as well. Many of the victors from CragmiteBlaster's fanfic "Cheating Death: Those That Lived" will be included in this because I really enjoy some of the characters that he made for that, especially Baron, Vercingetroix, Rook, Shunt, and Peridot. So without further ado, the victor list.
First Games: Mizar Aldjoy (District Nine)
Second Games: Pliny Aransio (District Seven)
Third Games: Museida Selkirk (District Four) - not a Career
Fourth Games: Robert Camaro (District Eleven)
Fifth Games: Chili Smithers (District Three)
Sixth Games: Waverly Plums (District Eight)
Seventh Games: Iris Park (District Ten)
Eighth Games: Cadmus Steff (District Five)
Ninth Games: Fir Buzz (District Seven)
Tenth Games: Lucy Gray Baird (District Twelve)
Eleventh Games: Mags Flanagan (District Four) - not a Career
Twelfth Games: Baron Overwhill (District Two) - first Career in District Two
Thirteenth Games: Peridot Gaudy (District One) - first Career in District One
Fourteenth Games: Gwenith Rosebud (District Nine)
Fifteenth Games: Bear Redfoot (District Eleven)
Sixteenth Games: Woof Casino (District Eight)
Seventeenth Games: Runa Peace (District Two)
Eighteenth Games: Crystal McCree (District One)
Nineteenth Games: Olga Machete (District Two)
Twentieth Games: Shunt Gaspar (District Five)
Twenty First Games: Bronze Marley (District One)
Twenty Second Games: Isobel Sparks (District Five)
Twenty Third Games: Tide Luther (District Four) - first Career in District Four
Twenty Fourth Games: Crown Martins (District One)
Twenty Fifth Games: Vercingetroix Carnaby (District Two) - Quarter Quell Victor
Twenty Sixth Games: Salazar Monolith (District Ten)
Twenty Seventh Games: Maylilly Flower (District Eight)
Twenty Eighth Games: Teff Withers (District Nine)
Twenty Ninth Games: Crimson Flanders (District Five)
Thirtieth Games: Honorius Quarry (District Two)
Thirty First Games: Chassis McAllister (District Six)
Thirty Second Games: Arthur Sanders (District Four)
Thirty Third Games: Seeder Howell (District Eleven)
Thirty Fourth Games: Snag Nakamura (District Seven)
Thirty Fifth Games: Maria Centaur Saxon (District Two)
Thirty Sixth Games: Laurel Flamsteel (District Nine)
Thirty Seventh Games: Beetee Latier (District Three) - electrocuted six tributes at once
Thirty Eighth Games: Porter Millicent Tripp (District Five)
Thirty Ninth Games: Rhyder Overwhill (District Two)
Fortieth Games: Lammy Phyronix (District Ten)
Forty First Games: Dollar Dettweiler (District One)
Forty Second Games: Spool Nylon (District Eight)
Forty Third Games: Tabbock Summers (District Nine)
Forty Fourth Games: Platinum Twist (District One)
Forty Fifth Games: Chaff Mitchell (District Eleven)
Forty Sixth Games: Anderson 'Seaweed' Clippers (District Four)
Forty Seventh Games: Wiress Plummer (District Three)
Forty Eighth Games: Neon Erg (District Five)
Forty Ninth Games: Brutus Gunn (District Two)
Fiftieth Games: Haymitch Abernathy (District Twelve) - Quarter Quell Victor
Fifty First Games: Lyme Rabe (District Two)
Fifty Second Games: Ptolemy Arckus (District Three)
Fifty Third Games: Blight Jordan (District Seven)
Fifty Fourth Games: Bentley Corduroy (District Six)
Fifty Fifth Games: Wattzon Holmes (District Five)
Fifty Sixth Games: Porsche London (District Six)
Fifty Seventh Games: Arendellian Spinner III (District Five)
Fifty Eighth Games: Majesty Oliver (District One)
Fifty Ninth Games: Pasture Gallows (District Ten)
Sixtieth Games: Cecilia Mog (District Eight)
Sixty First Games: Avery Smith II (District Two)
Sixty Second Games: Enobaria Golding (District Two)
Sixty Third Games: Gloss Lord (District One)
Sixty Fourth Games: Cashmere Lord (District One)
Sixty Fifth Games: Finnick Odair (District Four) - youngest victor at fourteen years old
Sixty Sixth Games: Crusader Barlow (District Seven) - victor scored a three in training
Sixty Seventh Games: Augustus Braun (District One)
Sixty Eighth Games: Kallie Jones (District Nine)
Sixty Ninth Games: Skinner Alecto (District Ten)
Seventieth Games: Annie Cresta (District Four)
Seventy First Games: Johanna Mason (District Seven)
Seventy Second Games: Wilder Crestwood (District Three)
Seventy Third Games: Magnus Sterlingshire (District Two)
Seventy Fourth Games: Katniss Everdeen and Peeta Mellark (District Twelve)
So yeah, there you have the victor timeline, which will be important as things go along.