I’m very late in posting the results, but on January 1 I compiled the usual stats on board games that have shown large positive movement within BGG‘s top 500 in the past quarter. Standard caveats about recategorization, new editions (etc.) apply.

Fast, positive movers among 'Board games':
001 (+499) Pandemic Legacy: Season 1
022 (+141) Codenames
033 (+467) 7 Wonders: Duel
065 (+435) Blood Rage
098 (+179) Orléans
145 (+355) T.I.M.E Stories
185 (+315) Mysterium
302 (+198) Through the Ages: A New Story of Civilization
395 (+105) The Gallerist

Fast, positive movers among 'Strategy games':
001 (+499) Pandemic Legacy: Season 1
017 (+483) 7 Wonders: Duel
035 (+465) Blood Rage
096 (+404) Through the Ages: A New Story of Civilization
135 (+365) Virgin Queen
138 (+362) Blood Bowl (Third Edition)
166 (+334) The Gallerist
194 (+306) Mombasa
201 (+299) Food Chain Magnate
212 (+288) Isle of Skye: From Chieftain to King
261 (+239) Tiny Epic Galaxies

Fast, positive movers among 'War games':
260 (+240) The U.S. Civil War
264 (+236) Risk: Star Wars Edition

Fast, positive movers among 'Family games':
066 (+434) Between Two Cities
111 (+389) Augustus
148 (+352) Burgle Bros.

Fast, positive movers among 'Collectible games':
003 (+497) A Game of Thrones: The Card Game (Second Edition)
085 (+415) Nature of the Beast: Farm vs. Forest
162 (+221) Schneller als Kurz
175 (+283) Huntik: Secrets and Seekers Trading Card Game

Fast, positive movers among 'Thematic games':
001 (+499) Pandemic Legacy: Season 1
006 (+256) Blood Rage
013 (+487) T.I.M.E Stories
032 (+468) Xia: Legends of a Drift System
034 (+466) Mysterium
064 (+362) Kingdom Death: Monster
092 (+408) Fury of Dracula (third edition)
094 (+406) Above and Below
096 (+404) Ninjato
109 (+391) Warhammer Quest: The Adventure Card Game
111 (+389) Thunderstone Advance: Worlds Collide
118 (+382) The Grizzled
140 (+360) Burgle Bros.
171 (+329) Run, Fight, or Die!
174 (+257) Risk: Star Wars Edition
177 (+323) Runebound (Third Edition)
206 (+294) Zombicide: Black Plague
222 (+278) Thunderbirds
246 (+254) DungeonQuest Revised Edition
256 (+244) Conquest of Paradise
276 (+224) A Study in Emerald (second edition)