Okay, for those who asked...
First, the versions in the FM boxed set are correctly labelled.
Second, some additional versions are not present on the FM boxed set.
Third, both those included and not included occasionally have a different name on different releases, though some are unidentified on the label or sleeve as being different.
Anyway, here goes...
The following are based on the original Mr. Bad Guy version, be they extended or edited.
01) Album Version
Available on Mr. Bad Guy and the FM boxed set
02) Single Edit
On the 7" Single and the US 12" Single
03) UK Extended Version
On the UK 12" Single, UK Mr Bad Guy CD and the FM boxed set
Called "Extended Version" on the FM boxed set
04) US Extended Version
On the US 12" Single
05) Early + Later Hybrid Mix
On the FM boxed set
The next wave of remixes come to promote The Freddie Mercury Album (UK) and The Great Pretender (US). Here's where things get a bit crazy and confusing.
06) Julian Raymond Mix
On the The Freddie Mercury Album; the 1st, 3rd & 4th editions of The Great Pretender, and Queen+ Greatest Hits III, and the FM boxed set
This is the most easily found remix. This remix is incorrectly call the "L.A. Mix" on some releases (such as the 1993 Canadian CD single)
07) Radio Mix
On The Great Pretender (2nd Edition, mistakenly labelled as the Julian Raymond Mix in the booklet), most 1993 7", 12" and CD singles (but not all), The Very Best Of... and on the FM boxed set.
This is the version that went to #1 in 1993. No idea why only one pressing of TGP swapped it for the JR Mix. Remixed by No More Brothers. The next two remixes are based on this mix.
08) Extended Mix
On 1993 CD singles and 12" singles, The Very Best Of... and the FM boxed set
Based on the Radio Mix
09) Dub Mix
Only on the 1993 UK 12" "Living On My Own: The Remixes" single (with the white sleeve and yellow text).
Also based on the Radio Mix
10) Club Mix
On 1993 CD singles and 12" singles, and the FM boxed set
Also by No More Brothers, but sounding nothing like the Radio Mix
11) L.A. Mix
On the 1993 UK 12" single and German CD single
Remixed by Julian Raymond
12) Techno Mix
On the 3rd & 4th editions of The Great Pretender
Remixed by Julian Raymond, and sounds very similar to the L.A. Mix
13) Underground Solutions Mix
On the UK "In My Defence" CD Single (Part 2), Freddie Mercury Remixes CD and the FM boxed set
Remixed by Roger S. and sometimes referred to as the "Roger S Mix."
The Very Best Of Freddie Mercury Solo: Lover Of Life, Singer Of Songs collection is released, both as a single disc and a double disc set. This gives us a few new remixes.
14)The Egg Remix
Found on The Very Best Of... 2 CD limited edition and a UK promo CD single
Remixed by The Egg
15) The Egg Extended Disco Dub
On a rare 1-sided UK 12" promo single
Based on The Egg Remix
For more descriptions of each version, check out the QueenVault.com site.
I hope this helps