There is no need to create such a bank. Because it will not be possible to follow a uniform rule from country to country, it will depend on the regulations and laws of each country. One more thing, like the current banking system, control of money will no longer be in your hands, the bank can use your Bitcoin for other purposes and when having a problem, claiming returning your money and Bitcoin is extremely difficult.
If you are worried about how to safely store Bitcoin, you can buy Bitcoin through an ETF, which is also an accessible solution for customers who do not want to spend too much time learning how to buy and store Bitcoin. The level of safety that can be guaranteed when approved ETF funds were guaranteed in terms of financial potential as well as are subject to supervision by the US government. However, just like the comments above, the most important thing we must remember first about owning digital assets is "NOT YOUR KEY, NOT YOUR COINS".