Swissquote can indeed not be used as a day-to-day bank, unless you consider your day-to-day banking needs by having a bank account that can only be used for first-party transfers and a debit card (that can be used freely like a regular debit card). You couldn't pay rent with Swissquote nor can you receive your salary/dividends directly into the account (although they have been known to make exceptions in some cases).
If your country is supported, you could combine a Swissquote account with a Yuh account. Open a Swissquote account first and then Yuh. Yuh functions more like a day-to-day bank where you can use︀ the account for third-party transfers.
If you can part with at least 50–100,000 EUR/USD, you︁ can try banks in Mauritius. They all have public financials, so you can do your︂ own assessment of which ones are safe.
At 100,000 EUR/USD and up, you can try︃ premium/wealth banking in Singapore or Hong Kong. They tolerate third-party transfers but overall your profile︄ should be keeping the minimum deposit (or more) in investments or as cash balance on︅ the account. Most will give you a debit card by default, but it's almost always︆ SGD or HKD only. Credit cards can be discussed, but are also usually limited to︇ SGD and HKD. Some have no FX fee, but it's still not ideal if you︈ transact mostly in other currencies.
There are also some options in Panama and the Caribbean.︉ Minimum usually in the 10–50,000 USD (or higher...) range.