You can find yourself more or less anonymously if you go through a VPN or through the Tor browser. Again, if you really need it, the special services can find you even through several addresses through which Tor passes you, but I hope you are not going to do anything criminal.
I think you can, but in that case you will have to substitute someone. There will still be some starting address in the chain of your anonymization. And it will belong to someone. Also, all Internet addresses, even gray ones, can still be tracked (I mentioned this in the comments above). Not always, of course, much depends on the experience and desire of the provider to delve into terabytes of traffic, but it is still possible sometimes. You can draw a lot of anonymization schemes, they will differ only in the number of nodes, used protocols and encryption
you can still add a proxy server, but about ordering or paying for these services, you still pay through a bank card ;-)
the browser, or the navigator on the Internet also sends its header (signature). which system (system version and browser version) and can always be calculated. and mobile devices generally send their serial number and you can always find the owner using it. you need to take into account a lot, and not the fact that you will miss something. given are collected for years, and are buried until the time comes when you need to use or analyze them, and then a modest artificial intelligence system will find all interrelated events and then you can easily be calculated
What is meant by "anonymity". If you mean name and surname - yes, you can. For the time being, no one needs you, like that "Joe-elusive".
But you need to understand that your "profile" (your writing style, behavior, browser, computer hardware config, software set, geo-positioning and HUNDREDS of parameters) in the database.
And in different places to identify you as ONE and the same person is easier than a steamed turnip now !!!
Find out specifically, that "this particular person" is also "Petya Mastroginsky" - a matter of technology and "necessity". "Thor" and others like them ... Well, yes: Masha from the next desk will certainly never find out that you are you. Otherwise, you sleep, even with a "torus")))
If approached wisely, it is real. There are many technologies and methods that can be combined that no one will reveal your identity.
encryption of communication channels
free hotspots, etc.
But there is always a risk to burn if something is not legal to stir up :)
Complete anonymity on the Internet requires a very serious level of technical literacy and technical capabilities, which is beyond the power of most users. And honestly, this is not necessary if you are not going to engage in criminal activities. For everything else, VPN services are suitable, of which there are a lot now. I recommend trying ExpressVPN, a convenient service for mobile and desktop platforms.
No, you cannot be 100% sure that no one will be able to identify you.
Even if you use Tor Browser or I2P, you are still not sure that you will not be "identified", since nobody canceled the possibility of exploiting possible vulnerabilities in software and OS.