The oldest videotapes I've got on off-air VHS:
This was taped over from a Three Stooges video, from July 1984 it's the final seconds of NBC's "Summer Sunday, USA" promo with current California Governor Jerry Brown. The host were Linda Ellerbee (now at Nick News), and Andrea Mitchell (still at NBC today). It has the picture of the two hosts on the top left and the truck driving on a bridge on the bottom left infront of the 1983-85 NBC News Globe graphics. The announcer says "...Governor Jerry Brown, join Linda Ellerbee and Andrea Mitchell sunday!" then it cuts of "Days of our Lives" promo then cuts to Kenn Sparks (who was anchor at WYFF 4 in Greenville, SC at the time) opening his eyes. It has "NewsCenter 4, WYFF-TV Greenville, S.C." in the bottom. Yes, it has the red/blue arrow 4 logo they used for many years. The announcer said from the NBC promo "This week, we hope to sake our wedding bells..." then it cuts back to the Three Stooges. Unfortunately, I didn't see the NBC's Proud 'N logo from 1979-86 on the tape.
Another videotapes I've got are from 1989-1991 (all taped from WYFF 4 with commercials, NBC promos, and WYFF 4 promos and newscast promos during the final days of "NewsCenter4" and early days of "News 4", it has the gold arrow 4 logo as well):
July 2, 1989- NBC Sunday Night at the Movies "Mad Max Beyond Thunderdome"
August 7, 1989 - NBC Mini-Series "On Wings of Eagles" -repeat (with Garrick Utley doing NBC News at This Hour on the death of politician Mickey Leland)
November 13, 1989- NBC Monday Night at the Movies "Cast the First Stone"
November 19, 1989?- NBC Sunday Night at the Movies "Top Gun"- repeat
January 22, 1990 - NBC Monday Night at the Movies "The Delta Force"
February 4, 1990- NBC Sunday Night at the Movies "Lethal Weapon"
February 11 and 13, 1990- NBC Miniseries "Blind Faith" (with the late Robert Urich)
February 19, 1990 - NBC Monday Night at the Movies "Nasty Boys" - repeat
February 25, 1990 - NBC Sunday Night at the Movies "A Family For Joe" (starring the late Robert Mitchum, features NBC News at This Hour with Debroah Norville before she went to "Inside Edition")
February 26, 1990 - NBC Monday Night at the Movies "To Young to Die?" (starring Juliette Lewis and Brad Pitt before he was famous)
January 6, 1991 - NBC Sunday Night at the Movies "Perry Mason and the Case of the Ruthless Reporter" which followed by WYFF News 4 newscast from that date (incomplete)
Now some from CBS affiliate WSPA-TV.
1992-93: Christmas Specials, "Child of Rage", "John List".
Here's some from ABC affiliate WLOS-TV.
January 1989: ABC Sunday Night Movie "Ghostbusters" with promos and one promo featuring the late Peter Jennings.
From Fox Affiliate WHNS-TV.
February 28, 1990 - Broadcast of the 1985 movie "To Live and Die in L.A."
April 1990 - Broadcast of a "Simpsons" episode plus promos and station ID, follows by FOX ID, and first seconds of "Married with Children".