TinySID does not handle NMIs (Non Maskable Interrupts) and other small features of the C64. I'll work on these one day (just waiting for the snow to start falling)... alors SC68 needs some re-engineering to properly emulate some tunes...
For the tunes that do not work with TinySID, you may look for other versions on the net. Some people spent some precious time making compatible versions.
Most of the issues are very similar with SC68's lack of CIA timer handling and interrupt handling.
While it's a nice exercise to implement interrupt and timer handling in the replayers, it's also somehow a waste of time. Very few tunes require these extra features and it's sometimes better to take the other route, which is: repairing the song/remove the use of NMIs, CIAs, etc.
After all, these replayers do not need to be real-time emulators, but just render PCM samples in memory that can be redirected to modern playout devices