I mentioned earlier some Limited Stop Services to Oxgangs in the 70s (decade and number range).
I remember my closest, the 73, between Sighthill terminus and the city centre. Also the 70 which went from Westburn to the city centre, potentially along part or all of West Approach Road.
From memory, others were 71 and 72 to Oxgangs, 76 to Clermiston, 78 to Little France and 79 to Fairmilehead. 77 possibly too, to Colinton maybe?
I used to go into Princes Street with my Mum on a Saturday morning to meet my granny and auntie for shopping then coffee and cake. One of the places we went every month was the LRT office and Airport Terminal at the top of Waverley Bridge. It stood roughly where the delivery vehicle entrance was later created for Waverley Market. Anyway, I used to look at the timetables which were located around pillars while my auntie queued for her new 4 weekly Ridacard. I remember the Limited Stop leaflets were single sheet A5 yellow paper, to differentiate from the regular services on white paper booklets. The Airport service was on smaller card.
I can't remember how long these services ran for: I think the 73 lasted longest and was extended to Currievale Drive in the 80s. As far as I know, numbers 74 and 75 were only introduced from deregulation in 1986, to Balerno and Stoneybank respectively.