A friend of mine has a Brunswick player that can play all 3 types of flat platters (Edison, Pathe, and "modern").
Then there are 7" 45s, 10" eps (at 33RPM and 45RPM), 16RPM records (and even 8RPM!).
There isn't a "one stop" solution to playing old records. Besides theirs will permit them to rescue cracked/broken records. Even accetates can only be played a finite number of times before they are destroyed.
The player you cite does look good though (7"-12", 30RPM-50RPM and 60RPM-90RPM). Multiple speeds of "78" are more important than holding the range between 30-50, 78s actually are recorded between 70RPM and 80RPM depending on the manufacturer and era:
The LT-1LA steps through its 30 rpm to 50 rpm range at 0.1 rpm for LP's and 45's. The LT-XA has a range of 60 rpm to 90rpm at increments of 0.2 rpm and can play 78's in addition.
Now that we are in the digital realm, we have 3 formats of CD/DVD audio that are not compatible (although combi-players exist). Add to that CD-R, and CD-RW. My 1986 laserdisc player is pretty good at being able to play CDs, the music tracks on CDs with CD-ROM data (like videos) which give my car CD player a lot of headaches, and even CD-Rs. It is a better "CD" player than most CD players these days.
I never knew there were three types of cylinders. Learned something new.
I've got a Sony CD player made back in '89 that plays homemade discs just fine, so I've always found it weird about how some have problems with the latest players. But it's amazing how we can burn them to begin with.
I'd have loved to had that laser player several years back. I too have gotten rid of my collection, such as it was, nothing the Smithsonian will miss.
I seem to have read once that Baird made some attempts to record his TV signals on discs back then. Maybe this program mentioned in the article could reveal another piece of history.