James,
what I want/need is 16 different channels of PWM ('simultaneous' and individually controlled), something like controlling a 4x4 LED matrix for example (not this case). I do not want to build a matrix every time I have to use this setup. It seems to be something of a "perfect" solution, at least to me, so I would understand if its something that does not exist. Maybe just too perfect...

Mike,
Thanks for your suggestion, I was looking for a "hardware" solution if possible, in some cases I might need extra CPU headroom. In any case I will try this solution, since it seems to be the one with best cost/benefit in simpler cases.