33rd century — memory alpha

Multiple realities

(covers information from several alternate timelines)

The 33rd century was defined in the calendar of Earth as being from 3201 until 3300.

Decades

3204

In this year, had she followed through with it, Osyraa's promise of a systematic walk back of the Emerald Chain's activities on planets such as Kwejian would end. (DIS: "There Is A Tide...")

3218

While the USS Discovery is caught in temporal cycling in 3191 – caused by a chronophage planted on the ship by Moll and L'ak – Michael Burnham and Rayner visit an alternate timeline of this year where Federation Headquarters was destroyed by the Breen in 3191 after their acquiring Progenitor technology, presumably from Moll and L'ak following Discovery's crew being unable to catch them. (DIS: "Face the Strange")

3267

Around this year, Captain James T. Kirk reckoned that Humanity would be able to prove that there is hope for themselves; based on a conversation he had with a Metron. (TOS: "Arena")

3269

After placing the USS Enterprise in suspended animation, Flint remarked that he might release the ship in this year. (TOS: "Requiem for Methuselah")

Leto is promoted to captain. (DIS: "Life, Itself")
The USS Discovery is reverted to her pre-refit configuration and sent on a final Red Directive mission. (DIS: "Life, Itself")

Going by Data's statement that the energy ribbon passes through the Milky Way Galaxy every 39.1 years, it can be expected to return in 3229 and 3268. (Star Trek Generations)