In Frontier Elite 2, which songs are part of the soundtrack?

I do not know what (if any) differences exist between different versions of the game, but the answer below is correct for the DOS version.

Firstly if you have a copy of the game you can run, you can see the list of tracks available from the options menu (in the DOS version, this is accessible from the main cockpit screen after pressing Esc twice). Screenshot below.

As you can see, the songs listed are:

• In The Hall of the Mountain King - Edvard Grieg
• Frontier Main Theme - David Lowe (original music)
• Baba Yaga - Modest Mussorgsky
• Night on Bare Mountain - Modest Mussorgsky
• Frontier Second Theme - David Lowe (original music)
• Ride of the Valkyries - Richard Wagner
• The Blue Danube - Johann Strauss II
• The Great Gates of Kiev - Modest Mussorgsky

It's perhaps worth mentioning that the versions in the game are abridged arrangements - the original classical pieces are often longer.

Update: This user-submitted screenshot at Mobygames shows an options screen with an identical list of tracks, claiming to be from the Amiga version.