Definitely depends what your health concerns are - I wouldn't consider tea or coffee to be unhealthy.
There are lots of lovely infusions that can be bought/made. If you like chai, you can make the same kinds of spice mixtures without any tea & use that - it's delicious!
Caro is a nice cereal-based drink. Chicory root and wattleseed also make for good caffeine-free coffee replacements.
Just re-read...you're just looking for alternatives, not suggesting they're unhealthy hey? I'd also highly recommend making your own chai if you like it