Like Cosafina, I find the tops that you have to press down (quite hard) whilst squeezing the sides at the same time really really difficult, if not impossible to open. I have every bottle opening gadget known to man ( or woman!) but no one seems to have invented the answer to this.I've trawled the internet, bothered places like Lakeland, and places that sell gadgets for disabled people without success. And like others, I've risked life and limb with tin openers, hammers, scissors and other assorted tools!
My usual solution is to wait for someone to come to the house, get them to open it, and then never do that final twist again, so I have only the squeezing to do!
Re squeezing,my most reliable aid is a circular rubber/plastic mat which is totally flexible and has sort of a lattice work effect. It helps you to get that better grip and works with 80% of tops.