Although no longer appearing at anything close to the frequency of its heyday in the late 80s/mid-90s, the 'Energizer Bunny' still shows up once in a while, including a recent '30 years' ad. However, since they stopped the 'spoof' commercials that the Bunny used to interrupt, the campaign has been rather forgettable.
Edd Hall (announcer for the Jay Leno-era 'Tonight Show') was the Bud VO after they finally dropped McMahon(who had otherwise been replaced by Danny Dark of 'Superfriends' and NBC promo fame, back in the '80s).
I'm not sure if Nationwide insurance ever completely dropped its 'Nationwide is on your side' slogan, even if it did retire the jingle for several years.
The trend in the last couple of decades to do 'low-budget' instrumental or 'whistled' renditions of 'evergreen' jingles(also see State Farm's 'Like a good neighbor...') has grown as stale as the older versions of those jingles had before they were replaced.
One recent 'comeback' I like is the Miller beer campaign which includes a few seconds of their old 'If you've got the time, we've got the beer' jingle, which preceded the iconic 'Welcome to Miller time'.