I found this table of which UK banks and building societies are owned by larger banks. Not sure now up to date it is but it does give a starting place to look for more secure banks. There are similar lists for other countries.
And this article on how to evaluate your bank's risk and protections in place. It's general principles apply to all countries.
When such government protection schemes have existed in other countries they work if only one or two banks collapse. But payouts can take months... So best not to have all your eggs in one basket. In a more general crisis the protection scheme itself may fail. In that case best to have some eggs in baskets held in other countries far away. Particularly as during past crises governments have been known to raid the hen house and prevent transport of eggs out of the country...
