I'm looking for a list of reporters who have been with these networks
for more than ten years.

drinda -- 

Here are the lists you requested.  They include network (i.e.,
national) reporters and correspondents employed by ABC News and CBS
News for at least 10 years in that capacity.  I have included after
each name the year that his or her on-air career began at the network.
The information is drawn from biographies published online by those
news organizations, and the links to those sites are posted after each
list:

ABC News:

Barbara Walters (1976)
John Stossel (1981)
Bob Brown (1980)
Juju Chang (1987)
Tom Jarriel (1968)
Timothy Johnson (1975)
John Quinones (1982)
Bill Ritter (1993)
Jay Schadler (1982)
Lynn Scherr (1977)
Chris Wallace (1989)
Diane Sawyer (1989)
Charles Gibson (1975)
Ted Koppel (1963)
Chris Bury (1982)
John Donvan (1982)
Dave Marash (1989)
Michel Martin (1992)
Peter Jennings (1964)
Bill Blakesmore (1970)
Ron Claiborne (1986)
Richard Gizbert (1993)
Jackie Judd (1987)
Mike Lee (1980)
Mark Likte (1979)
John McKenzie (1980)
John McWethy (1979)
Judy Muller (1990)
Ned Potter (1987)
Bill Redeker (1988)
Dean Reynolds (1984)
Brian Roony (1988)
Barry Serafin (1979)

Sources:

ABC News: Biographies: 20/20
http://abcnews.go.com/sections/2020/bio_index_primetime/bio_index_2020.html

ABC News: Biographies: Primetime Thursday
http://abcnews.go.com/sections/primetime/bio_index_primetime/bio_index_primetime.html

ABC News: Biographies: Good Morning America
http://abcnews.go.com/sections/GMA/bio_index_gma/bio_index_gma.html

ABC News: Biographies: Nightline
http://more.abcnews.go.com/sections/nightline/Nightline_Bios/Bio_index_Nightline.html

ABC News: Biographies: World News Tonight
http://abcnews.go.com/sections/wnt/bio_index_wnt/bio_index_wnt.html

ABC News: Biographies: World News Now
http://abcnews.go.com/sections/WNN/bio_index_wnn/bio_index_wnn.html



CBS News:

Wyatt Andrews  (1981)
Sharyl Atkission (1993)
John Blackstone (1980)
Jerry Bowen (1977)
Ed Bradley (1971)
Rita Braver (1972)
Harold Dow (1972)
Tom Fenton (1970)
Bill Geist (1987)
Sandra Hughes (1993)
Hattie Kauffman (1990)
Mark Knoller (1988)
Steve Kroft (1980)
Bill Lagatutta (1992)
Vicky Mabrey (1992)
David Martin (1983)
Anthony Mason (1986)
Bob McNamara (1974)
Russ Mitchell (1992)
Erin Moriarty (1986)
Charles Osgood (1971)
Bob Orr (1993)
Scott Pelley (1989)
Barry Peterson (1978)
Mark Phillips (1982)
Randall Pinkston (1990)
Allen Pizzy (1980)
Bill Plante (1964)
Dan Rather (1962)
John Roberts (1992)
Troy Roberts (1993)
Andy Rooney (1978)
Charlie Rose (1984)
Richard Roth (1972)
Morley Safer (1964)
Bob Schieffer (1969)
Richard Schlesinger (1984)
Bob Simon (1967)
Harry Smith (1986)
Susan Spencer (1977)
Leslie Stahl (1972)
Jim Stewart (1990)
Martha Teacher (1977)
Peter Van Sant (1984)
Mike Wallace (1961)
Bill Whitaker (1984)

Source:

CBS News: Bios
http://www.cbsnews.com/stories/2002/10/17/utility/main525997.shtml


Search Strategy:

I first performed the following Google search and found the CBS News
list on the first try:
"cbs news" bios
://www.google.com/search?sourceid=navclient&q=%22cbs+news%22+bios

A similar search using the terms "abc news" "bios" was unsuccessful,
so I tried a different tack, as follows:
abc "peter jennings" biographies
://www.google.com/search?num=100&hl=en&lr=&ie=ISO-8859-1&q=%22abc%22+%22peter+jennings%22+biographies&btnG=Google+Search

This search returned a link to the bio of "World News Tonight"
correspondents.  This led  me to get the list of ABC News broadcasts
from abcnews.com and try similar searches for the correspondents on
each or those shows.  These searches were successul.

The remainder of the job, of course, consisted of reviewing each
biography for the specific information sought.


I am confident that this is exactly the information you are seeking. 
I have included all of the links to the complete bio lists so that you
can easily get any other information that you may need about ABC and
CBS news correspondents and reporters.

If any of the above is unclear, please ask for clarification before
rating this answer.


markj-ga

Wow--thank you so much! Timely, efficient, and well explained. And I
got some good insight into how to conduct better searches in the
future. Thanks for the help!

Isn't $10 a little low for this? (just asking)

This is the first time I've posted a question, so I wasn't sure how
much to post (even after reading all the "how-to's". Thanks for the
heads up!

drinda --

Thanks much for the kind words, the five star rating and the tip.

markj-ga