Great House of Targaryen (Dothraki, Unsullied and Second Sons, Dragons) 58 000~100 000, 10 000, 3 ≈ 110 000
White walkers (Wights, White Walkers) 50 000~110 000, 99 ≈ 110 000
Great House of Lannister (Crownlands and Westerlands, Frey’s, Kings Landing and Gold Cloaks) 30 000~60 000, 10 000, 17 000 ≈ 60 000
Great House of Tyrell 65 000~90 000 ≈ 65 000
Great House of Martell in Dorne 45 000~50 000 ≈ 50 000
Great House of Stark  (Wildings, North) 200, 30 000~45 000 ≈ 40 000
Lord of the Vale (Baelish) 30 000~50 000 ≈ 30 000
King Euron Greyjoy 10 000~20 000 ≈ 10 000
Night’s Watch ≈ 100

Based on map that was: „I got this by googling the deleted link: https://zeitgeist.photo/asset/201502/zg.mg6c.jpeg”
But it was made by MaximePLASSE in 2014: http://maximeplasse.deviantart.com/art/A-song-of-Ice-and-Fire-world-map-522059370
Information based on the:
www.reddit.com/r/gameofthrones/comments/4q70e9/main_spoilers_heres_an_indepth_breakdown_of_each/
www.reddit.com/r/gameofthrones/comments/4o9r8a/everything_does_anyone_have_a_size_estimate_of/
www.reddit.com/r/gameofthrones/comments/4qlah4/everything_what_is_the_size_of_dannys_army/
mashable.com/2016/05/16/game-of-thrones-army-numbers/#K7ZrTuvyGZqx
Made By Maciej Psych Smykowski Katowice, 2016-07-10