Have a look at my app (https://lawand.io/taskbar/) it's matches your criteria except that it doesn't have an option to go vertical but this has been requested and will probably be added at some point. It's free for the foreseeable future so you can take your time to try it
Thank you for mentioning Taskbar (https://lawand.io/taskbar/). It is true that I am not able to detect non-standard fullscreen apps, but there is an option to scroll down on taskbar to hide it completely until you move the mouse to the bottom of the screen again
Thank you for mentioning Taskbar (https://lawand.io/taskbar/). The multi Monitor bug was fixed in the recent macOS update, as it was a macos bug and not a taskbar bug. Also, the start menu update is almost done and will be out soon.
Thank you for mentioning my app (https://lawand.io/taskbar/). It is still free for the foreseeable future and once the paid version comes out it will be 25$ for a lifetime license, and I will not offer a subscription option
Thank you for mentioning my app (https://lawand.io/taskbar/). It's been around for a couple of years and it's considered the best alternative to uBar according to the extremely positive reviews by my users
I also prefer the Windows Taskbar rather than the dock as you mentioned, that's why I created Taskbar for macOS. Feel free to check it out: https://lawand.io/taskbar