I am a UL qualified Chartered Accountant with 7 years+ of
post-qualifying experience and over 10 years of experience in total. 
Currently living in Bermuda but originally from the UK.  I have a wife
and 9 month old son.

I am hoping to relocate into the US and am looking for contacts and
recruiters that may be able to assist in this process.

Since you are originally from the UK, maybe you should look at this
site about immigration.  It is the government site, up-to-date, of
course, and warns about seeking advice elsewhere.  It is all here: 
FAQs and Search.

http://uscis.gov/graphics/index.htm

Thanks very much for that but I believe that I need to be sponsored
(H1B) or by way of sizeable investment ($500k-$1 mill).  Unfortunately
I don't have those funds so it would be the sponsorship route.  I
don't believe the Green Card route is viable for UK citizens as we
have used up our Green card quota.

Specifically I would like to find recruitment companies who are known
to specialise in obtaining foreign nationals with employment or
comapnies who are known to emply foreign nationals.

Thanks for the info thus far though - very much appreciated

Craig

Just fly into Mexico then walk, drive, or fly north.  In the USA we
have millions of illegal immigrants. They own homes, get medical care,
free schooling, state aid, and work all sorts of jobs. So, come on in!
We have open borders, and open doors - thousands use them in every
day!