Find a short book that your child loves you to read to her. Ask her to "read" it to you. The words do not have to be exact. Help her practice reading the book several times. When she can "read" the book confidently, record her reading the book. You can video her reading with your cell phone, video camera, or use your computer to record her voice. You could also buy an inexpensive cassette tape player and blank tapes to record her voice. She will love listening, or watching her recording while she "reads" along in the book.
This is also a great idea for grandmas and grandpas that cannot always read stories with your child. Record their voices as they read some of your child's favorite books. This will create hours of story time with a personal touch.