I assume we mean the series and the films only.
TOS(And The Cage)
TOS Films (I simply handwave The Final Frontier being Kirk's dream)
VOY (Minus Threshold)
ENT (Trip didn't die, damn it. It was a Section 31 ploy.)
First bit of the nu!Star Trek.
I know there are some people who insist that anything after Generations is a lie, because Picard's still in The Nexus or something. I also consider Abramsverse an alternate timeline, so I didn't include the Abramsverse bits of Star Trek (2009) in.