Well the thing to remember of course that the places that really get heavy snowfall don’t
have any practical way of measuring the snowfall since either A) the area is too rugged
and dangerous to get to because of either the heavy glaciation, high elevation and bad
weather B) if they could get to it there still wouldn’t be a reliable way to measure the
snowfall given that avalanches would make trying to measure snow very hazardous
as well as the fact that avalanches, high wind and other factors would distort what
the real actual snowfall is.

Suffice to say there are many places in the world that have a better preciptiation/cold temp
combination with heavier glaciation than Rainer or Mount Baker so places like Paradise(which isn’t
even at the highest elevation on Rainer) and Mount Baker Ski Resort both in Washington(still lower
in elevation than Mount Baker) while without a doubt to get a lot of snowfall the reality is that
there are numerous places that most likely would show higher snowfall totals if there was a way
to reliably measure the snowfall in a safe way.

Some of the areas that I’m sure that do receive more snowfall than in Paradise or Mount Baker
would be in the St Elias Range(Mount Fairweather and Mount St Elias) in Southeast Alaska
(that borders British Columbia and Yukon Territory respectively). The Chugach range in southern
alaska is another potential area. The British columbia coast range(in particular around Mount
Waddinton and Mount Ratz)

The southern Alps in New Zealand would be another possibility(in particular mount cook)

Patagonia and specifically in some areas of the southern patagonia icefield(to be really specific
around TYNDALL glacier and Aguilera volcano).

an 18000 foot volcano in Colombia called Nevado de Huila which seems to be snowiest mountain
if the weather predictions for http://www.mountain-forecast.com/ are reliable.

In the Himalayas Kangchenjunga(the 3rd highest mountain in the word and the most southern
and easterly of the 8000 Meter peaks which means it probably gets hit by the monsoon more
than the other 8000 meter peaks. Also the largest glacier, called the Zemu glacier, originates
from the east face of Kangchenjunga), Annapurna,Manaslu and what is called the Assam
Himalaya in the extreme eastern part of the Himalayas.

Here is a pretty good thread on this that gives much more detail

http://www.americanwx.com/bb/index.php/topic/879-snowiest-place-on-earth/

Ya so in reality, as much snow as Paradise gets, I highly doubt that it would be the snowiest place
on earth