For those with access to all/most races, here is a larger reincarnation table:

0-55: use standard table
56: Aarakocra
57: Aasimar: Fallen
58: Aasimar: Protector
59: Aasimar: Scourge
60: Bugbear
61: Centaur
62: Changeling
63: Deep Gnome
64: Duergar
65: Sea Elf
66: Firbolg
67: Air Genasi
68: Earth Genasi
69: Water Genasi
70: Fire Genasi
71: Githyanki
72: Githzeri
73: Goblin
74: Half Drow elf
75: Half Sea elf
76: Ghostwise Halfing
77: Lotusden Halfing
78: Harengon
79: Hobgoblin
80: Kalashtar
81: Kobold
82: Kenku
83: Leonin
84: Lizardfolk
85: Loxodon
86: Minotaur
87: Orc
88: Owlin
89: Satyr
90: Shadar Kai
91: Shifter Beasthide
92: Shifter Longtooth
93: Shifter Swiftstride
94: Shifter Wildhunt
95: Simic Hybrid
96: Tabaxi
97: Tortle
98: Triton
99: Vedalken
100: Yuan-ti Pureblood