Former Disney employee here
You’ll want to hit all the big rides early, get Fastpass if you can. I find that Indiana Jones ride takes a lot of time to get to, based on the seating of the cars the general type of ride it is. Get that Fastpass first. Depending on what day you go(Tuesdays and Wednesdays are the slowest), the Fastpass will reserve a spot for you in a couple hours or in the afternoon.
From Adventureland, go to Pirates of the Carribean first. Its a 30 mins ride with a 15 min line, and a lot of fun. The Jungle Cruise is a relaxing little ride, but its hit or miss depending on the boat operator. He/she’s supposed to tell jokes and stuff, but some of them suck. Haunted Mansion is right next to it, so go on that next. Depending on the line, you can go or skip Splash Mountain. Its only redeeming value is the big drop, and you dont’ want to spend 2 hours in line for 3 seconds of ride. The animatronics in there are of the old Country Bears and random short cartoons Disney used to produce, so I doubt your daughter will recognize any of the characters. If she likes Winnie the Pooh, head to Critter Country real quick and hop on that ride, then go back towards the middle of Disneyland and get on Thunder Mountain.
You can get lunch around that time probably, try to eat before 11am or after 2pm, lines are shorter. I second the Peter Pan ride, its great and about the only Fantasyland ride of distinction. Skip the boat ride through the big whale’s mouth, and the Fantasyland train, they suck and are short. From there, you can head to Toontown for that Roger Rabbit ride, then take the Its a Small World ride really quick. The lines move fast in that.
From there, Matterhorn’s pretty close, and then Space Mountain. Autopia’s in the same area, but if she can’t reach the pedals then it probably wouldn’t be too fun for her. The Finding Nemo submarine ride is there, but its one of the newer upgrades so the line may be long. Skip Innoventions, its just a big arcade/museum thing. Star Tours is also in Tomorrowland and that’s a lot of fun, and the Tomorrowland rockets are there right in front of it. Buzz Lightyear’s Astroblaster is there too, and I found it to be quite fun. Plus you get to shoot at stuff with a gun!
In California Adventure, the only decent rides are Soaring Over California and California Screaming. There’s a small ride call Mulholland Drive or something that’s fast and short. Make her sit on the edge, it’s scary 
Not many people would think this, but in that park, go to the Bug’s Life area. There’s a 3D movie thing there based on A Bug’s Life that is ten times better than the 3D Honey I Shrunk the Audience thing in Disneyland. Go on that, its great. Not many people know about it and the entrance looks deserted, but it is great.
Last, check out the showtimes for the Hyperion Theater in the Hollywood section of California Adventure. If you go on a weekend, they have 6 shows of that Aladdin show playing. It is spectacular. Its basically a singing and dancing show based on the movie in a comfortable theater setting. They have a Genie that does a standup act in the middle using current events, so you’ll always see something new. Plus, I think Aladdin runs through the crow or something. Fun fun show, kind of a hidden gem. Last, if you’re next to the Hyperion already, check out the Tower of Terror. They have a show within the line, and even the lines snake through some very interesting areas (the supposed basement of the hotel).