Here is a list--up to date as of Gen 9--of all types, showing the highest among all of the average stats for that type:
Bug: Attack at 71.0
Dark: Attack at 94.8
Dragon: Attack at 99.2
Electric: Special Attack at 86.2
Fairy: Special Defense at 86.6
Fighting: Attack at 108.8
Fire: Special Attack at 88.8
Flying: Speed at 85.6
Ghost: Special Attack at 83.7
Grass: Attack at 77.0
Ground: Attack at 91.2
Ice: Attack at 88.2
Normal: HP at 77.5
Poison: Attack at 74.4
Psychic: Special Attack at 95.4
Rock: Defense at 102.2
Steel: Defense at 108.9
Water: Attack at 76.5
Source: all the type pages on the DB
Hope I helped!