If parallel universes are included as alternate timelines, how many alternate Star Trek timelines have been presented to us onscreen in the Franchise? For the sake of clarification, Tomorrow is Yesterday represents 3 timelines to me.
Timeline 1- Beginning of episode until Christopher's & the Air Policemen's (although, technically, I suppose each persons beam back could constitute a new timeline) beam back.
Timeline 2- Post beam backs until the Enterprise is slingshoted out of the 1960's.
Timeline 3- When Star Fleet contacts the newly returned Enterprise in what Spock hopes to be the Enterprise's original pre-1960's timeline.
So, due to the murky nature of timey whiminess illustrated by the possibility of of a 4th Air Policeman timeline, I understand there can't and won't be a hardline perfect answer to this question. What I'm hoping for is an acceptable general ball park figure.
(And, if the voters deem this Franchise wide question too broad, I'll narrow it down to TOS, but the Franchise wide answer was what brought this question to mind.)