I hav a friend with an IQ of 153 and a broad-spectrum of interests.
(No it is NOT me... I could only wish I had that much brain power). 
We have just discovered a way for her to go to school.  (before it was
impossible...long story).  Anyway here is what I want.  Good advice
based on some decent research about the top 4 or 5 BS or BA degrees to
shoot for.   Include for consideration both employement opportunities
and expected salary.  Please note, she has a (ridiculous) conviction
for a Class C Felony on her record, so some jobs (like law
enforcement) might not be in the running.  Just for reference we live
where attendance to any Portland, Oregon University is most
convienient.  Not a deal breaker, but a consideration.  Thanks for
your effort and time.....Pam :-)

Wrong, wrong, wrong again. 

Sorry for the strong language. I am working as a students' advisor and
I give lots of help here on GA regarding education and employment.
What is "best" for one individual might not be "best" for the next
person and there is no universal best. Let's say that the top job of
the future is to be a space-pilot. But your friend gets car-sick. So
how does this information help her?

It takes different type of people to be scientists, engineers,
teachers or lawyer - different type of thinking. If one chooses their
major only based on "what is going well in the market", one might end
up studying something that is not interesting for them; and worse -
ending up working in this job. Since they are less passionate than
people who really like it, they will probably not get too far ahead.
Sometimes it is better to choose a path that is not so beaten, but
reflects what you really have in you.

Most well respected careers, except perhaps some jobs in engineering,
require graduate education.

And the "(ridiculous) conviction for a Class C Felony" does not just
hinder her prospects in law enforcement and the like. Many big law
firms will not take a partner with conviction; most private schools
will not take a teacher with a conviction; and most clinics will not
take a physician or a psychologist with a conviction - all of these
places have enough cadidates without it.

Regardless of your friend's IQ, choosing an educational field and a
career is not something that should be done solely by evaluating
"employment opportunities and expected salary."

A close friend of mine is a longtime member of Mensa. He has a
remarkable mind, and if intellectual ability were the only factor that
determined job aptitude and career satisfaction, my friend could have
his pick of any job in the world. When he decided to return to college
and get a bachelor's degree, he looked at the economic prospects for
several different occupations and decided that he should be an
engineer.

So he enrolled in engineering school, where he was able to get top
grades. But he hated it. He could not imagine doing this kind of thing
for the rest of his life. Engineering just wasn't suited to his
temperament, and he found no joy whatsoever in it.

My friend finally jettisoned the engineering courses and found another
field in which he excelled, but which he found to be interesting and
stimulating. Although he may not be making as much money as some
engineers do, he has a career that he loves.

Phew, these researchers are harsh today... but it's good to see they
mean well :)  And they do make very good points.

However, I think your questions is more for ideas and possible
guidance rather than for a cut and dry "this is what she will major in
because it's worth the most".

Anyways, here were the top recruited majors for 2004-2005:

"When asked which new college grads they were likely to hire, the
greatest number of employers said they were interested in hiring grads
who majored in:

accounting, 
electrical engineering, 
mechanical engineering, 
business administration and 
economics/finance. 
Rounding out the top 10 list were students who majored in:

computer science, 
computer engineering, marketing or marketing management, 
chemical engineering, and 
information sciences and systems."

Do keep in mind also that in 4 years (when she graduates), these
majors could have changed considerably.  I remember when I graduated
in 2000 (just about the same time as the job market crash... oh the
joys; no one would hired me with an economics degree.  Every economics
job required a masters.  But here we are 6 years later and it looks
like an economics degree will go a long ways.

Oh, here is the link for the quote:
http://www.a-aos.org/top_10_degrees_in_demand_for_2004_2005.htm

(1) Perhaps of interest, the U.S. Department of Labor lists
fast-growing occupations. If one is inclined to chose a course of
study based on future employment prospects, preparing one's education
based on this list might be useful:

http://www.bls.gov/news.release/ooh.t01.htm

(2) If one is inclined to chose one's career based on one's own
interests and aptitudes, there's no shortage of
self-tests/exams/exercises in introspection that might worth
consulting. Many of these are described in the classic book for
job-hunters "What Color is Your Parachute?" and its associated website
http://www.jobhuntersbible.com/

With respect to your friends "class C felony" - A felony will not only
preclude your friend from law enforcement, law, and teaching, but it
will more than likely prevent your friend from obtaining employment
with any employer that recruits on campus. While backround checks are
not traditional as it relates to employment gained through personal
networks, it is clearly the norm for on campus interviewing. I would
explore possible legal remedies (e.g. expungement, removal, etc.)
before committing time and financial resources into pursuing an
undergraduate degree. Access to companies and recruiters on campus is
without question, a significant resource and in some cases the only
means thru which students gain meaningful employment.

I agree with the others
- choosing a career for money is not a good idea

Here in the UK we have something called 'The Rehabillitation of Offenders Act'

After a period of time the convictions become 'expunged'

I was told by experts in the insurance industry that it is actually an
offence to /enquire/ whether a person has a conviction - for example
insurance companies cannot ask whether you have a driving conviction
over IIRC five years old (definitely 10 years).

It would be a good idea to check this out, it is likely that US or
States laws have something similar.