Can you give me the names of everyone or anyone who has won both a Nobel prize
 (in any category) AND also an Oscar(in any category)
 Regards  Mongolia

Dear mongolia,

In the history of the Nobel Prize and the Academy Award (the "Oscar"),
there is only one single person who has received both prizes: The
well-known Irish dramatist and literary critic George Bernard Shaw
(1856-1950).
He received the 1925 Nobel Prize for Literature in 1926, and in 1939
he was awarded the 1938 "Oscar" for the screenplay of the movie
version of his stageplay Pygmalion.
To the present day, no one else owned both these awards.

Sources:

Internet Movie Database: George Bernard Shaw
http://www.imdb.com/Name?Shaw,+George+Bernard

ShawChicago Theater Company: Shaw's Chronology
http://www.shawchicago.org/shawtimeline.html

Britannica Guide to the Nobel Prizes: George Bernard Shaw
http://www.britannica.com/nobel/micro/541_46.html

Orlando Sentinel: Theater - Shaw's 'Candida': A tale for today
http://www.orlandosentinel.com/entertainment/theater/orl-livshaw01040103apr01,0,6037485.story?coll=orl-caltheatertop

Search terms used:
"nobel prize and an oscar"
://www.google.de/search?hl=de&ie=UTF-8&oe=UTF-8&newwindow=1&q=%22nobel+prize+and+an+oscar%22&meta=
"george bernard shaw" "nobel prize" "academy award"
://www.google.de/search?hl=de&ie=UTF-8&oe=UTF-8&newwindow=1&q=%22george+bernard+shaw%22+%22nobel+prize%22+%22academy+award%22&meta=
"george bernard shaw"  "nobel prize" "and an academy award"
://www.google.de/search?hl=de&ie=UTF-8&oe=UTF-8&newwindow=1&q=%22george+bernard+shaw%22++%22nobel+prize%22+%22and+an+academy+award%22&meta=

Hope this answers your question!
Best regards,
Scriptor

Dear Scriptor
Thanks for your prompt answer
Mongolia

Excellent work, as always, Scriptor. If I were in charge of the
ratings, I would have given you 5 stars.