Enclosed top spin with light effects maybe?
Or some form of gyroscope ride - either a 360 degree spherical option or an ABC rides Tourbillon
- three in the space at different levels strategically placed for line of sight so you get a brief disorientating glimpse of the other two as you spin would be good - if you could create the illusion of floating structures or an illuminated effect with the actual ride structures that could be interesting - with some external illumination/ effects / theming.
This could be called something such as Perpetual Motion or Infinite Energy and themed around some crazed scientist's or supervillain's quest to capture infinity and wield its power- I'm thinking some kind of Tesla/ steampunk theme could look amazing as could something just playing with illumination/lighting effects. It could be quite awesome to have this as an area by a queue area to a similarly themed coaster so you're watching the ride while you wait as you wouldn't get all the visual/musical impact being on it.
As another possibility I've always wondered about if a 360 haunted swing were possible- maybe the gyroscope/Tourbillon route could be adapted so a whole room does the movement (I never got my head round if you could logistically move a room in every direction I just wondered if you could) although for the infinity idea it would work better seeing the 'device(s)' as you're then watching that motion which could be quite amazing in itself with the right visual and musical setting- the Tourbillon especially really lends itself well to having music to match.
Not everyone likes the 'spinny' rides but I love them so any variant of this would be a go-to ride for me.
Edit: extra idea - re the trommel with mirrors you could incorporate some of these sorts of ideas as a coaster and linked rides experience (different linked rides within one experience) called 'Disorientation' or something similar, could be a nice fit for The Ministry of Joy's experiments following on from their 'work' linked to Oblivion and The Smiler....