The OP asked what people personally follow or ignore, that was the whole point of the thread.
Exactly.
And in the spirit of the question I will be redundant in restating what is probably already known according to my likes and dislikes.
TOS is it.
TAS also happened although it was in some respects a skewed or stylized representation of what happened in the TOS universe. I think the Alan Dean Foster adaptations in the
Star Trek Log series are more realistic versions of the events.
TMP happened. Then there was a second 5-year mission.
TWOK/TSFS/TVH/TFF/TUC happened in some alternate reality rather than the same one as TOS/TAS/TMP. Something similar might have happened in TOS' future continuity, but for me there is a large blank slate between TMP and early TNG.
I like the first three or so seasons of TNG and I see that happening in TOS' future. The latter seasons as well as DS9 not so much. By extent this includes VOY because it just doesn't exist for me.
The TNG films don't exist for me.
ENT never happened in TOS' continuity. Instead I accept the prehistory referenced in James Blish's adaptation of "Balance Of Terror." The historical aspects of the novel
Federation happened in TOS' continuity. The Vulcan and Romulan prehistory in
The Romulan Way works. Quite a bit of John M. Ford's
The Final Reflection also works for Federation and Klingon prehistory. Quite a bit of Marvel Comics'
Star Trek: Early Voyages works for the Pike era. Ditto for John Byrne's
Crew stories from IDC.
The
Star Trek Continues production continues TOS (so far).
JJtrek...simply doesn't exist for me.
That's my personal continuity.