Okay, so, level-up and TM/HM moves. Bold is new. Levels for Purugly's relearner moves are assumptions based on Glameow/previous gens. In previous gens, Purugly learned Scratch and Growl at level 1, and then again at level 5 and 8 respectively; the move relearner only shows them once, of course, so I only listed them at level 5 and 8. Also, I only had enough Rare Candies to test up to level 97, but I doubt they learn anything past that.
Glameow:
L1 - Fake Out
L5 - Scratch
L8 - Growl
L13 - Hypnosis
L17 - Feint Attack
L20 - Fury Swipes
L25 - Charm
L29 - Assist
L32 - Captivate
L37 - Slash
L41 - Sucker Punch
L44 - Attract
L48 - Hone Claws
L50 - Play Rough
TM01 - Hone Claws
TM06 - Toxic
TM10 - Hidden Power
TM11 - Sunny Day
TM12 - Taunt
TM17 - Protect
TM18 - Rain Dance
TM21 - Frustration
TM24 - Thunderbolt
TM25 - Thunder
TM27 - Return
TM28 - Dig
TM30 - Shadow Ball
TM32 - Double Team
TM40 - Aerial Ace
TM41 - Torment
TM42 - Facade
TM44 - Rest
TM45 - Attract
TM46 - Thief
TM48 - Round
TM49 - Echoed Voice
TM65 - Shadow Claw
TM66 - Payback
TM67 - Retaliate
TM70 - Flash
TM77 - Psych Up
TM85 - Dream Eater
TM87 - Swagger
TM88 - Sleep Talk
TM89 - U-turn
TM90 - Substitute
TM100 - Confide
HM01 - Cut
Purugly:
L1 - Fake Out
L5 - Scratch
L8 - Growl
L13 - Hypnosis
L17 - Feint Attack
L20 - Fury Swipes
L25 - Charm
L29 - Assist
L32 - Captivate
L37 - Slash
L38 - Swagger
L45 - Body Slam
L52 - Attract
L60 - Hone Claws
TM01 - Hone Claws
TM05 - Roar
TM06 - Toxic
TM10 - Hidden Power
TM11 - Sunny Day
TM12 - Taunt
TM15 - Hyper Beam
TM17 - Protect
TM18 - Rain Dance
TM21 - Frustration
TM24 - Thunderbolt
TM25 - Thunder
TM27 - Return
TM28 - Dig
TM30 - Shadow Ball
TM32 - Double Team
TM40 - Aerial Ace
TM41 - Torment
TM42 - Facade
TM44 - Rest
TM45 - Attract
TM46 - Thief
TM48 - Round
TM49 - Echoed Voice
TM65 - Shadow Claw
TM66 - Payback
TM67 - Retaliate
TM68 - Giga Impact
TM70 - Flash
TM77 - Psych Up
TM78 - Bulldoze
TM85 - Dream Eater
TM87 - Swagger
TM88 - Sleep Talk
TM89 - U-turn
TM90 - Substitute
TM100 - Confide
HM01 - Cut
EDIT: Oh, yeah, confirming that Play Rough is indeed just Glameow, unless I missed it (which I'm 99% sure I didn't.)
EDIT 2: Also I didn't count the return of Sleep Talk as new.
