LGPE Mew Hard to obtain/Exclusive Moves

List of Hard to obtain/Exclusive Moves available on Mew in LGPE

Notes: Any move obtainable by Mew in gen 3 can also be obtained through the mew move tutor in XD (along with a few moves exclusive to this tutor), so this tutor isn't mentioned but if the move is mentioned as available in RSE/FRLG/the other XD Move tutors then it is also available through this method. Moves are listed if they haven't been available since gen 5 or below, although gen 3 and below moves are rarer as a gen 4 Mew is still relatively easy to obtain through My Pokemon Ranch.

Level 1: Confusion (Completely Exclusive), Mimic (Available from TM in gen 1, Move Tutor in FRLG/E/XD) - You have to use the Move Reminder to get these as the Mew from the Pokeball Plus does not come with them.
Level 11: Swift (Available from TM in gen 1/2, Move Tutor in E/HGSS/Pt)
Level 33: Psywave (Available from TM in gen 1)
TM01: Headbutt (Available from TM in gen 2, Move Tutor in HGSS)
TM04: Teleport (Available from TM in gen 1, Hayley's Mew from My Pokemon Ranch)
TM15: Seismic Toss (Available from TM in gen 1, Move Tutor in FRLG/E/XD)
TM28: Tri Attack (Available from TM in gen 1)
TM42: Self-Destruct (Available from TM in gen 1, Move Tutor in XD)
TM44: Play Rough (Completely Exclusive)
TM53: Mega Drain (Available from TM in gen 1)
TM57: Pay Day (Available from TM in gen 1)
TM60: Megahorn (Completely Exclusive)

Honourable Mentions:
TM10: Dig (Not available since gen 6 which it was a TM in, for some reason is not a TM in SM/USUM)