Beauty product packaging

I've been finding this too but find a piece of material (face/kitchen cloth) over the top helps with grip. Also food jars which are difficult because of diameter. I pierce with a sharp knife to release vacuum and immediately seal the incision with a piece of sellotape. Has worked every time so far.

I now decant shampoo, conditioner and body wash into pump dispensers. Much easier to use with wet hands.

The one that gets me always is mouthwash, the cheaper sort practically impossible to break those little plastic hinges that keep the cap on 🤦‍♀️

You can get a gadget called a jar key that breaks the airlock on a jar. Or an old-fashioned can opener to stab in safer than a knife.
Shampoo and Conditioner mark with a waterproof marker with a large letter s and c as suggested on Gransnet about 18 months ago.
For food jars try putting on a rubber glove or on small bottles I use nutcrackers to turn them. I also use them for bottles like toilet cleaner that need pushed in and then turned.
As for the stiff plastic that tablets often come in my DD showed me to push the bottle onto a work surface and then turn it. Shampoo etc I have even resorted to decanting into an empty bottle that is made of softer plastic or an old handwash container.
Best of all my friend has a long suction tube for sucking up spiders especially just as you are getting into bed.