Please see the timeline at the bottom of this table:
This is a straight copy pasta from DVK's answer
Because of the (over)abundance of time travel in the franchise, the "chronological" order is actually completely jumbled up. E.g. some episodes/movies are set in far future or far past for a part or nearly entirety of the episode. I will be omitting those from the first part of the answer..
The question is very extensively answered in a very good Wikipedia article - the answer below is merely a useful distillation.
In large strokes:
2151 to 2155: Star Trek: Enterprise (ST:ENT)
Finale is set in 2161.
2233 to 2258: 2009 Star Trek reboot film (Alternate universe)
2259 to 2260: Star Trek Into the Darkness (Alternate universe)
2254 to 2269: Star Trek: The Original Series (ST: TOS).
Individual per-season in universe years can be found on the Wiki
2269 to 2270: Star Trek: Animated Series (ST: TAS)
2273 to 2273: Star Trek the Motion Picture
2285 to 2293 Star Trek movies #2-6
The Wrath of Khan, The Search for Spock, The Voyage Home, The Final Frontier, The Undiscovered Country; in that order.
In-universe years on the Wiki.
2293 to 2371: Star Trek: Generations starts
Movie prologue is before ST: TNG starts; the end of the movie happens after ST: TNG ends.
2364 to 2370: Star Trek: The Next Generation (ST:TNG)
2371 to 2371: Star Trek: Generations (bulk of the movie except prologue)
2373 to 2373: First Contact
2375 to 2375: Insurrection
2369 to 2375: Star Trek: Deep Space 9 (ST: DS9)
- Partially overlaps with TNG, Generations and 2 TNG movies
- Season 1 is same time as TNG season 6
- Season 3 follows the end of TNG
2371 to 2378: ST: Voyager
- Partially overlaps with DS9, Generations and 2 TNG movies.
- Season 1 starts the year after TNG ends and same year as DS9 season 3
- Season 5 follows the end of DS9.
2379 to 2379: Nemesis
2387 to 2387: 2009 ST reboot - before time travel backwards to 2233.
Individual episodes, as mentioned above, featured time travel to vaious past and future dates. Full list on the Wiki, but some random ones:
- 3.5 Billion years ago (TNG)
- 2840 BC (TOS)
- 1893 (TNG)
- 1930 (TOS)
- 1986: Star Trek IV: The Voyage Home
- 2063: First Contact Cochrane timeline.
- 31st Century (ENT)