This is the GoPro Hero 4 -- the go-to name in action cameras and the ideal shooter for anyone into action sports. It has excellent video and photo quality and a built-in touchscreen that makes it easy to control the camera and frame your shots.
For students about to do a little (or a lot) of traveling during school, the S1 is a nice choice. Its 50x zoom lens goes from wide for landscapes and group photos to extreme telephoto for getting closer to architecture or wildlife. But the best part is that its the only one of its kind that is weather resistant, so a little rain, snow or dust won't matter.
Sony's Action Cam Mini packs fantastic features and video quality, but is small enough to mount where others won't fit -- even in its tough, waterproof housing. It's splashproof without a housing, too, something GoPro's cameras can't claim.
Feeling generous? Know a someone who's photography deserves more than a phone camera? The LX100 is an excellent enthusiast compact with the facility to handle the nocturnal pursuits of uni students, while being compact enough to fit into a rucksack and sent on travels.
Once one of our top interchangeable-lens camera picks, the A6000's price has subsequently dropped into the range of an enthusiast compact, making it great budget choice for a grad who's starting to take photography seriously.
A compromise between your A-student-deserves-the-best camera and parents-can-afford budget, the RX100 was our top compact pick until unseated by its subsequent, more expensive sibling, the RX100 II. It's comfortably small, making it ideal for travelling and taking on holiday and delivers excellent photo quality.
A fun, inexpensive gift for a phone-camera-obsessed grad is this Lensbaby special-effect lens. It's inexpensive and a creative way to enhance photos that can't quite be replicated with software filters.