Lulu the Big Little Chick by Paulette Bogan

From chapters.ca:
Lulu the little chicken is sick of being told she's too little to do things...s o she decides to run away where no one will tell her what to do. And when the horse, and sheep and cow and everyone seem to get in her way, it only makes her more determined. But when she finally gets far far away, what happens when a loud crow scares her? Next time, she'll take her momma with her

Mrs. Wishy-Washy’s Farm by Joy Cowley, illustrated by Elizabeth Fuller

From chapters.ca:
Uh- oh. Mrs. Wishy-Washy is at it again. Rubbing and scrubbing all the animals on the farm. But this time they aren't standing for it. Duck, Cow, and Pig are leaving mean old Mrs. Wishy- Washy for good! They run away to the big city. But they get lost, wander into a restaurant, and even stumble into a hardware store and get covered in paint! Where is Mrs. Wishy- Washy when they need her? Maybe her farm isn't so bad after all...

From the Mixed-up Files of Mrs. Basil E. Frankweiler by E. L. Konigsburg

From the back of the book:
Twelve-year-old Claudia Kincaid is restless. She wants to do something different, leaving her comfortable suburban life in Connecticut behind for awhile. And she wants to be gone just long enough o teach her parents to appreciate her. But as Claudia plans to run away, not just any place ill do. She wants to live in style - in a place with a bit of luxury and some good company. Claudia settles on New York City's Metropolitan Museum of Art. She invites her younger brother Jamie to come along too, not for companionship, but mostly because he is a miser and has saved up some money. Unfortunately, the live-in at the museum isn't all Claudia had hoped. She doesn't feel any different than before. And soon she finds herself in the middle of an interesting museum mystery. Claudia sees a statue so beautiful that she cannot head back to Connecticut until she discovers its maker. the first clue is the statue's former owner, Mrs. Basil E. Frankweiler, an unusual old woman who helps Claudia finally find her way home.

And My Mean Old Mother Will be Sorry, Blackboard Bear by Martha Alexander

The boy in this story thinks his mother is mean, so he runs away with the blackboard bear to make her sorry. He soon discovers that he misses his home and goes back.