You mean the system used in most of Europe? Seems to be working fine. Arguably even better than the US system.
Basically decisions by judges, none-to-little plea bargaining, none-to-little bail. You do have the right to appeal to several levels of court.
Not having a jury also makes court much less of a drama theater than in the US. Everyone is presenting evidence to a judge, not to random people off the street who have much less developed bullshit detectors and experience in interacting with lawyers and knowing what they are aiming to achieve with any given sentence.
It is still too early to make a judgement about Europe. The US has had a democracy close to 231 years. Much of Europe except for the UK, Netherlands, and Switzerland was ruled by absolute monarchs for much of this period.
As a juror you are supposed to judge only by what has been presented in court. But this leaves a lot of room for bullshit experts.
I think there need to be some nationwide standards about accuracy of different methods like alcohol tests, speed traps and especially forensics where I have read that a lot of completely false methods are being used to convict people. The judge should have the ability to call out such things based on established scientific evidence and inform the jury.