Flab, it is getting better in terms of access to recent judgments.
Judges by the way usually take a pay cut to take the job. It's an awful job. I wouldn't do it even for double what I am now paid.
Remember most other cases in lower courts are not a precedent - cannot be relied on in future cases so in a sense they don't matter in the same way that a higher case does. So it is not that important to see other cases of the same level. What you want are judgments in appeals as they are then able to used in cases later.
The process in most smaller cases is that the judge speaks a judgment - the judges have hardly any time to read paperwork before or work after - their hours and role is far to busy and we do not have enough of them. They usually just say the judgment. That will be recorded in most courts although sometimes the tape machines break so after you can make a request for someone to type it up - there are competitive services you can buy from forthat. It's a very loads of hard work to type up these things so in most cases no one would bother having the judgment typed up at all.
In my bigger cases were hire a service such as livenote I think it's call where a private company sits in court and types at the same time as it is said evry word spoken in court, then corrects it in the few hours after the court closes and gets it emailed to those who have paid usually both side's lawyers (and also a copy for the judge) ready for the next day's hearing. I had a 50 day trial and we had that on every one of the 50 days. That is only going to be cost effective in cases with loads of money at stake.
In some cases like a trade mark one I had the other week the judge will produce a written judgement. In that case no one will be interseted in it like thousands and thousands of other cases. In a few rare cases the law reports will take a leading interesting new case and report it but most cases are really dull, don't make new law and just prove John Smith didn't pay the invoice Jane Brown sent to him.
Presumably if we ever get the technology and the funding we might get a service which automatically can take what is said in court and become like a kind of voice dication, dragon dictate service without needing a human to do it but we are not there yet.
PCL is right - they might be able to get you a copy at a local law library of a particular case. I have used the Law Society library for older cases sometimes. Someone this morning wanted a 2015 article on a case which I'd published and I sent it to them for nothing dsepite them asking for the fee. I'm nice like that...