Hi there! My best bet on this are actually 2: the Alcatel One Touch C1 and the ZTE Zinger. Have tried them both (one of my cousins is currently using it) and have been impressed with the phone's features.
I can verify what FreebieBoy said. Alcatel One Touch is a decent back-up. However, if your concern is the main one breaking, you should probably just utilize the built-in cloud storage services and a screen protector / case combination. The cloud services are virtually indestructible