In my European bubble people are generally aware that Uber is a morally questionable company (without necessary knowing about the details, just a reputation) and some have heard of Lyft, even though it's not available.
Actually in Greece 4 drivers have been criminally charged for violating the law by driving for Uber and falsifying documents (as per company instructions).
In the countries of South Europe (Greece, Italy, Spain, Portugal) in which I have personal experience, although there are some Uber drivers operating illegally or in gray zones, penetration is minimal. You can only get rides in capitals and major cities, and they're not much cheaper.
The main reasons are 2: people hate Uber because they know they're exploiting workers, and taxi drivers have strong unions. Uber IMHO is the only entity that managed to become more hated than taxi drivers.
The reason Uber is banned everywhere can be summed up by the European Court of Justice: Uber needs to stop pretending to be just an app. It's a transport company, and it's using the app as an excuse to operate illegally, bypassing regulations, responsibility and avoiding tax.
Imagine that - they are able to do that without the "Uber" model of ignoring regulation and doing the fuck they want regardless.
The apps involved weren't bad either. You entered your location (or had it located via GPS), told the destination and it would give you the exact price that you could either pay directly at the taxi (before you drive) or via Paypal/CC/etc.
It was quite pleasant though apparently not very popular since a lot of people simply prefer public transport or their own car here.
https://metropolitan.fi/entry/uber-returns-to-finland-in-jul...