The install itself went flawless, but when straight into the Live iso again after reboot. I had to manually remove it from Vbox. Can this be improved? As in disabling the live-version after install?
Welcome to the Fedora community 
In the Virtualbox settings you can change the boot order:
Boot Order: Determines the order in which the guest OS will attempt to boot from the various virtual boot devices. Analogous to a real PC’s BIOS setting, Oracle VM VirtualBox can tell a guest OS to start from the virtual floppy, the virtual CD/DVD drive, the virtual hard drive (each of these as defined by the other VM settings), the network, or none of these.
https://www.virtualbox.org/manual/ch03.html
Set the hard drive to be first priority and save. I usually set optical as second priority but this is up to you.
Next time you start it should boot into Fedora.