SO.... I compiled a list of the various amounts of types of pokemon, both the old and new ones. Still slightly in the works, since we haven't gotten all the pokemon yet. Mostly Fairy type. Some of these include other forms of pokemon with different typing, including some Mega Pokemon. They don't include Arceus, except in Normal.

44 Dark type, 9 pure, 35 mixed
66 Bug type, 17 pure, 49 mixed
39 Dragon type, 11 pure, 28 mixed
42 Electric, 26 pure,16 mixed
46 Fighting, 20 pure, 26 mixed
56 Fire, 28 pure, 28 mixed
92 Flying, 1 pure, 91 mixed
34 Ghost, 9 pure, 25 mixed
85 Grass,35 pure,50 mixed
61 Ground, 13 pure, 48 mixed
34 Ice, 12 Pure, 22 mixed
105 Normal, about 66 pure, about 39 mixed
74 Psychic, about 34 pure, about 40 mixed
54 Rock, 9 pure, 45 mixed
42 Steel, about 4 pure, about 34 mixed
118 Water, about 57 pure, about 61 mixed
So far counted 20 Fairy, 9 pure, 11 mixed.

Why did I do this, you ask?.... Cause I'm a loser like everyone else on this forum.... But worse....