There's actually a built in way to remove them in settings. System Settings -> Menu Bar.
You can uncheck or drag items around in the menu bar and group some inside of the menu bar control (and even create new menu bar controls).
I wish you could add third party apps to them, maybe that'll be next. But it's nice you can hide any apps icon right there.
This is for the icons in the drop-down menus, not the icons in the menu bar.