I’m from Australia, I haven’t seen them for a long time but around the mid 2000s to early 2010s we had products that were like set-top boxes that were variously referred to as PVRs (personal video recorder) and DVRs (digital video recorder). They had digital TV tuners in them and hard drives and would prebuffer paused TV up to a set amount of time allowing you to skip through ads and pause a show as you describe and they usually had more than one TV tuner in them so you could go through the Electronic Program Guide menu and set it to record another show while you watched or recorded a different one. My parents had one and it was great. I guess growing up with Free to Air TV, the novelty and unusualness of consuming media this way and not having to miss the show to get up for tea or not having to suffer the ads and just hitting fast forward still resonates with me even though now the idea of having to watch stuff on a schedule is becoming a weird and alien limitation that shouldn’t be there in the first place. Ironically though now you’d have a tougher time evading the ads in some contexts despite watching almost whatever you want whenever you want.