One of the 'Greatest Hits' style live albums that I think is amazing (partly down to the musicianship of the backing band) is the original Simon & Garfunkel in Central Park.
Most, yes, but many are very different offerings. Would be interesting to see ( but I'm not going to do this) if a lot of the albums suggested here fall into the second category. The 9 Below Zero album that @Steve Browning suggested before I could was the band's first release outside of a couple of live 7". Another couple of great 'non-hits' live albums are John Martyn live at Leeds and Bob Marley and the Wailers live at the Lyceum. Very much not hits packages.
Wanted to do this with my last band but they insisted on turning it into the Coverdale version. That was probably the first signs of the dreaded 'musical differences'.
This was going to be my contribution to the thread. Great album, and they never really cracked it in the studio. "Like sitting at Tulse Hill station..."
Well considering their website was therapyquestionmark.com...
Oh, and I met Dana briefly - she was absolutely delightful. As for Therapy? probably the nicest people I had the pleasure of working with in my record company days.
Harley Benton seem to be the popular choice. I know a very good guitarist who only plays HB, modded and un-modded. Even better, you can often get B Stock, or 'decorative' ones ideal for your plans. HB is Thomann's own brand.
Not clip on, but how about a very slimline free-standing light, such as a reading lamp that you could position to light the neck? Very small footprint (less than a mic stand).