Can anyone recommend a novel where this was done successfully (ie, first person pov for the MC, and third person pov for other characters)?
Actually, James Patterson does this pretty well in his Cross novels. He might have a lot of other writing issues, but the POV stuff is done well.
Elizabeth Bear's Jenny Casey SF trilogy uses 1st and 3rd throughout, although it doesn't switch by chapter; there's a mix (clearly shown) of both in the chapters.
The novels are:
Hammered
Scardown
Worldwired
FWIW.
~Nancy