Here’s an update on what games have moved up a lot recently at BoardGameGeek. The dates covered by the data are actually 11/17/2017-03/31/2018—a bit more than 2018Q1, but close enough for this purpose.

Fast, positive movers among 'Board games':
018 (+482) Gaia Project
037 (+344) Pandemic Legacy: Season 2
044 (+456) Twilight Imperium: Fourth Edition
061 (+439) Azul
063 (+348) Spirit Island
065 (+143) Clans of Caledonia
078 (+422) Rising Sun
098 (+402) Charterstone
128 (+242) Codenames Duet
141 (+131) Lisboa
174 (+115) Sagrada
195 (+305) This War of Mine: The Board Game
216 (+119) Exit: The Game – The Abandoned Cabin
252 (+248) Clank! In! Space!
343 (+117) Flamme Rouge
344 (+156) Dinosaur Island
355 (+145) Photosynthesis
359 (+106) Dice Forge
367 (+122) Sherlock Holmes Consulting Detective: Jack the Ripper & West End Adventures
400 (+100) Mythic Battles: Pantheon

Fast, positive movers among 'Strategy games':
006 (+494) Star Wars: Rebellion
008 (+245) Gaia Project
015 (+485) Pandemic Legacy: Season 2
025 (+475) Twilight Imperium: Fourth Edition
054 (+446) Rising Sun
059 (+441) Charterstone
137 (+363) Clank! In! Space!
186 (+314) Dinosaur Island
211 (+289) Mythic Battles: Pantheon
225 (+275) Rajas of the Ganges
299 (+201) Pulsar 2849

Fast, positive movers among 'War games':
002 (+498) War of the Ring (Second Edition)
209 (+210) Holland '44: Operation Market-Garden
224 (+276) Pendragon: The Fall of Roman Britain

Fast, positive movers among 'Family games':
084 (+416) Queendomino
115 (+385) Bunny Kingdom
139 (+361) The Fox in the Forest
171 (+329) Majesty: For the Realm
208 (+292) Rhino Hero: Super Battle
228 (+272) Meeple Circus
256 (+244) Viral
262 (+238) Stuffed Fables

Fast, positive movers among 'Collectible games':
032 (+468) Dungeon Command: Curse of Undeath
034 (+466) Dungeon Command: Blood of Gruumsh
038 (+462) Dungeon Command: Tyranny of Goblins
039 (+461) Dungeon Command: Heart of Cormyr
041 (+459) Pixel Tactics 2
042 (+458) Dungeon Command: Sting of Lolth
134 (+366) Romance of the Nine Empires

Fast, positive movers among 'Thematic games':
005 (+495) Pandemic Legacy: Season 2
029 (+471) Captain Sonar
038 (+462) Exit: The Game – The Abandoned Cabin
087 (+413) Flamme Rouge
090 (+410) Harry Potter: Hogwarts Battle
167 (+333) High Frontier (3rd edition)
174 (+326) Fire & Axe: A Viking Saga
181 (+319) Fog of Love
188 (+312) Pathfinder Adventure Card Game: Wrath of the Righteous – Base Set
195 (+305) Fallout
199 (+301) Stuffed Fables
204 (+296) DOOM: The Board Game
227 (+273) Whitehall Mystery
231 (+269) Legacy of Dragonholt