How to match the camera to the current 3d view without the cropping? I want to set a camera so what the camera sees is exactly what I see in the viewport.

I know that Ctrl+Alt+Numpad0 will move the camera to my 3D Viewport location, but it also severely crops the sides and sometimes does not show all geometry.

3D Viewport:



Camera view after pressing Ctrl+Alt+Numpad0:



Hitting Ctrl+Alt+Numpad0 crops the camera view, zooms out, and clips off the plane in the background.

How do I make it so that hitting Ctrl+Alt+Numpad0 actually sets the camera view to the 3D Viewport view, without distorting it, clipping geometry, or otherwise altering the view?
Just use Ctrl + Alt + Numpad0 and then move the camera back on the Local Z axis (double tap Z for local). You may also want to adjust your clipping on your camera. To do that go to the camera settings in the property panel and move the end distance back until everything is there, i.e. not clipped...