@Village Idiot : The OM-1 doesn't have a manual mode? I thought it was all manual. My OM-2 can be aperture-priority or manual.
I wouldn't give an 8-year-old a Rollei 35 or Leica. I think both would be too big of a leap for a child who's not shot manual film cameras. The Rollei is great, but fussy, and the Leica will probably be a bit too big for her, not to mention expensive - something you might want to wait on to see if she even likes film photography.
Small 35mm point-and-shoots: You can try the Olympus Trip 35. Automated, compact, and a surprisingly good lens.
Olympus Trip 35 - Camerapedia I've got a similar camera (35RC) which has manual options as well as a shutter-priority setting, and I really like it, except for the fact that I dropped it and now the rangefinder is a bit out of whack. So actually that might be a consideration - it's an older camera from the 60s and might not be as reliable as you'd like for a kid.
Olympus also makes a Mju-II, newer than the Trip, and possibly more appropriate for an 8-year-old who might not be as careful as you'd like (nothing against your daughter, just a comment about 8-year-olds in general

) Also has a sliding lens protector:
Olympus mju II - Camerapedia
There's also a Ricoh GR1:
Ricoh GR1 - Camerapedia
Fuji made some good compact point-and-shoots as well, but I don't know model numbers. But you can poke around the Camerapedia site to get some information about them.
On the same level as a Leica would be a Contax point-and-shoot, which have excellent Carl Zeiss lenses, but then you're getting into some serious cash and I don't know what your budget is.