I think I have solved the "rich people get better lawyers therefore a favorable result" problem...
Current system: more money = better lawyer = better outcome = biased result = no justice (or less justice).
Solution: At some point before the trial, there is a coin toss to see who gets which lawyer. Why is this good?
1) It means a truly equal chance of getting justice
2) It means the rich guy wont spend an enormous amount because it could bite him in the arse later if his lawyer ends up with the other guy (addressing the quality gap of representation)
3) Lawyers will still try and do a good job for the other guy to protect their win/lose ratio
Why has this not been tried before?