I remember seeing bits of Alien 3 (mostly the bait-and-chase at the end) way back when I was a kid. Seriously, I was way too young to be watching that, what were my parents thinking... But my memories of it were patchy, I didn't really even realise until I saw the film again much later. The first film from the franchise I remember taking note of was Predator. Again, I was only young, but I've always been an Arnie fan, so obviously I loved it.
I caught Alien Resurrection at some point when I was still young, I remember me and a bunch of my pre-teenage mates watching a copy I'd recorded from the TV late at night and laughing at all the ridiculous blood and guts. I can't remember if that was before or after I saw Alien 3 again (old enough to remember it this time). Much later I finally saw Alien and Aliens when I bought all four films on VHS.
AVP I saw in the cinema and basically hated it. I didn't get to see Predator 2 for years as it's never on TV in the UK, but I finally watched it when I borrowed the DVD from a friend while I was at university. AVP:R I saw at a friend's house, also at uni, and loathed with a passion. Predators I caught on DVD, and Prometheus I saw in the cinema.
I guess it was Predator and Alien 3 that kicked of my love for the series. Probably why Alien 3 remains one of my favourite entries to this day (I prefer the Assembly Cut now though).