Well, until the latest version (or maybe the last couple of versions), you would need to find out by yourself how to report a problem. So having a shortcut to the bug report wizard was already a big progress.
A tab will usually open next to the current one or at the right of all other tabs, so that's not so difficult to find it.
Depending on the issue, you can click on the smile icon at the address bar and give your feedback about what is wrong with that page.
The pop-up would need to have everything from https://bugs.opera.com/wizard/ and, if we are talking about Opera for computers, also everything https://bugs.opera.com/wizard/desktop, what means that it would need to be a big pop-up.
Regarding suggestions, I think that they should be made on a public place so they can be discussed by the users.