Mobizen is one solution done proper witch let you continue using apps installed in your Phone directly on your PC. And because they do it on a browser interface you are free to use it on a classic PC, and Mac or a Linux distribution like Ubuntu.
They advertise it as a way to see all notifications from phone directly on PC screen, check files (it have a device file browser integrated) and do other stuff like take phone snapshots or even capture a video with actions you do it on your device.
The last of the features the screen recording it one I use most because I usually test mobile apps and have to record the flow of testing. Without Mobizen I have to use a rooted device or to connect it to ADB witch is not as strait forward for all of us.