I’m not sure we’re talking about the same thing though. When I was with AIB they had deposit machines inside their premises, where you could key in the amount of your deposit and drop your envelope in, but the deposit wouldn’t be linked to your account in any way until it was manually input by the staff. I think most banks in Ireland have something like that - it’s basically just a teller-free deposit box. ATMs in the US have a different facility, where you use your ATM card and your PIN to deposit in the same way you do when you’re withdrawing, and the deposit is immediately registered to your account (although the funds won’t be immediately available).
No, I am pretty sure now they have something akin to the latter system though they used to have what you describe in the former.
Ooh, I remember that one. 
In my often-behind-the-times Rust Belt hometown, I remember them popping up at banks in the late 1970s and early 1980s. Machines from the late 1970s often had mechanical displays, while those from the early 1980s often had what I called “Spock viewfinders”. ATMs away from banks seemed to become more common in the mid-1980s.
They were around earlier, but ubiquity was certainly in the late 80s. Urban legends about withdrawal requests of $100 spitting out one hundred $1 bills were still floating around then.
I was stilll in college (Northern CA) in the 77-78 timeframe when a freind got an account at a bank specifically because it had a then-novel ATM. It was the only one in the greater area. Since he didn’t operate around anything like a regular schedule, it suited him perfectly to be able to go to his bank at 2 in the morning and withdraw a couple of twenties. I remember being skeptical that it would ever really catch on, but as an earlier contributor pointed out, within a couple of years they were as common as weeds.
They weren’t available to me in college–I graduated in 1983–but were becoming available in my hometown around 1985. I got my first MOST cart in 1986.