KLM seems to have no
non-stop flights between AMS and MIA
But the Dutch carrier Martinair
based at Amsterdam Schiphol airport
has a long tradition of flying between Amsterdam and Miami
But Martinair has ceased to exist. After this KLM started to fly
the route, and KLM was still flying the route in january 2012,
but it seems KLM might abandon the route.
There are American carriers serving this route in 2011.