ABC reacquired Bugs Bunny in 1985, as his 2nd run at CBS had come to an end. However, that season, his show was billed as The Bugs Bunny-Looney Tunes Hour. Tweety and Speedy Gonzales were MIA, and in Speedy's case, 4 years removed from his NBC run, it might be where the PC Police decided to banish him to cable. No one's really sure why Tweety was left out, as Sylvester appeared in shorts with Elmer Fudd, Porky Pig, Hippety Hopper, and Sylvester, Jr., which had kept him busy.
The next year, with network tentpoles from Hanna-Barbera (Super Friends & Scooby-Doo) having been dropped, Tweety was finally brought aboard, hence the title change to The Bugs Bunny & Tweety Show, which would remain in effect, in either half-hour or hour-long increments, for the next 14 years. As was the case at CBS during two runs (1968-71, 1975-85), the anthology package had a fluid format in terms of time. Time Warner's acquisition of WB in the late 90's, around the same time Disney bought ABC, would lead to the end of the series, and the end of Bugs' broadcast TV run after an astonishing 40 seasons, 2 in primetime, once the contract ran out in 2000.
In 1988, the familiar theme, "This Is It", was reinstated, having not been used since the end of the CBS run. This open comes from 1992.
Cartoon Network would try an expanded block under the Bugs & Daffy and Looney Tunes labels early in the aughts, but now, scheduling depends on programmers' preferences.