Here are some options that come to mind with low (under 100,000 EUR) or no minimum balance requirements in EU/EEA/CH/UK. Some are better than others. Not all will accept you simply because you happen to meet the conditions of being EU national/resident. There is a lot more that goes into approving an application. If you don't bring wealth or revenue to the bank, there is a whole lot of risk for not much reward to the bank.
Open a
Swissquote account and then a Yuh account. Swissquote doesn't like third-party transfers, but Yuh is more lenient.
PostFinance in Switzerland if you live in a neighboring country and have a legitimate, convincing reason to open a
bank account in Switzerland.
Bank Frick and LLB in Liechtenstein have no fixed minimums and have been spotted opening regular retail accounts for non-residents at times, but it's usually with the understanding that the relationship will grow quickly.
MeDirect in Malta.
DKB in
Germany sometimes accepts non-residents.
Gibraltar International Bank is unpredictable. Sometimes they take non-residents, and sometimes not.
Standard Bank in Isle of Man might accept you.
BlueOr Bank in
Latvia.
Banco Atlantico and Novo Banco in Portugal.
Signet Bank in Latvia (sometimes).
Industra Bank in Latvia (sometimes).
Cayman National in Isle of Man.
Citadele in Latvia/Lithuania - different requirements in different locations.
Mano.Bank in Lithuania. Has the same type of banking license as
Revolut, which comes with 100,000 EUR deposit insurance, but they can't offer certain services like pension funds and such.
BSM in San Marino has historically been very easygoing with EU nationals/residents with little to no minimum requirement.
Various banks in Cyprus can work - sometimes. It's very rare and hard to predict if you don't deposit a decent chunk of change.