MusicBee works perfectly via Wine, and it's a major part of my digital library. Without MusicBee my MP3 player would be worth 1/10 for me.

But you can't just take the installer and double click it, you need to follow these steps (naturally replace the directories):

Install Wine Staging and Winetricks

Create prefix for MusicBee and .NET

Bash:

WINEPREFIX=/home/kadupse/Wine/MusicBee/ wineboot –init 

Install .NET 4.0 and corefonts

Bash:

WINEPREFIX=/home/kadupse/Wine/MusicBee/ winetricks --force dotnet40 corefonts

Install xmllite and gdiplus

Bash:

WINEPREFIX=/home/kadupse/Wine/MusicBee/ winetricks xmllite gdiplus

 
Set Wine to Windows 7 compatibility mode

Bash:

WINEPREFIX=/home/kadupse/Wine/MusicBee/ winetricks win7 

Install .NET 4.8

Bash:

WINEPREFIX=/home/kadupse/Wine/MusicBee/  wine $HOME/Downloads/ndp48-x86-x64-allos-enu.exe /q 

Install Music Bee

Bash:

WINEPREFIX=/home/kadupse/Wine/MusicBee/  wine $HOME/Downloads/MusicBeeSetup_3_6.exe 

Downloads needed:
This specific version of the .NET Framework installer

You might see warnings about WoW64 mode, experimental flags, etc, just ignore them and keep going and MusicBee will work.