I'm too young for the 1980s Internet access stuff...
First access was via a Pipex trial disk in ~1994 obtained by my dad. We only kept it for the month as Dad had work funky dialback service so they paid the phone fees. We had a "don't answer the phone on the first ring" rule which sister and mum routinely forgot much to Dad's annoyance. There was huge notes on the wall reminding them and everything - stupid gits!
First consistent access would have been around Feb 1996 as for my 16th birthday my dad's present to me was a year's Compuserv subscription at approx £6 a month + phonecalls and per minute charges. I rapidly got myself as a sysop on an LGBT forum and didn't pay per minute charges while in that place
except once during a cockup at their end so I had to explain "the money will be refunded" without revealing exactly WHERE I was a sysop of cos I wasn't out to the parents then. First modem was 14.4, upgraded to 36.6 and then 56.6 but I did have to revert to using a backup 14.4 modem which needed regular WHACKING to keep it connected for 2 weeks
... I was very good at 38 minute calls so the total amount didn't get itemised on the BT phonebill
I installed the Compuserv software on my system 7 era mac and preferred the system 7 version to the post system 7.5 version which was bloated, buggy and annoying even if it did support webbrowsing of sorts. Parents were never quite sure if I was online or not as one of the good things was the ability to dial in, grab stuff, go offline, reply to stuff to an outbox then dial back out to send
I can remember my compuserv numeric ID and password to this day!
Stepdad uses an AOL address, he still thinks he's speaking to AOL when he phones for support - he thinks they're MARVELLOUS (the connection is a pile of poo). But then this is the man who has a wireless keyboard which drops characters if you type too fast aka faster than a slow 2 finger typist! I know I type fast by muggle speeds but for a geek I really don't type fast at all!