I had a great time playing LHOD: Tomb of Zojir and Society of the Serpent Moon.
Of the two, I think Zojir is probably better but they are both a lot of fun to play and I highly recommend both.
I enjoyed Nostradamus when I played it on XP but on Win 7 I never could get it to behave. It shook uncontrollably, as I recall, and I was never able to fix it.
Echo: Secrets of the Lost Cavern is an interesting game and a visual treat for the time in which it's set.
I've never seen one quite like it.
I'll give it my vote.
Personally, I did not like Sinking Island.
IMO it was boring; there was way too much walking; the PRA, a kind of tablet for detectives I guess, often gave you clues that were hard to match up, and in my opinion it was not one of Sokal's better games.
A much better detective game IMO, if you haven't played it, is Post Mortem
the first - and best - of the Still Life series.
If you run out of games while you're in the hospital (and best wishes to you on that!), you can always go to GOG.com and hunt up some more for download.
They have sales on games every time you turn around and they're very reasonably priced for the most part.