Rodgers? Screw that guy but ill will towards the Packers? Not really. Guys like Tom Grossi makes it nearly impossible to have a dislike.
I'll mention the Seahawks as a former hated team, mainly when they had Russell Wilson. Utterly hated around here because of how they kept finding ways to beat us. That's why our win against them in 2015 was huge.
Broncos still not forgiven because of the SB50 screwjob.
Cowboys will likely never come off the hated list.
Weirdly, Bucs are not hated as much around here. Wasn't the case in the John Fox era, though.
Whether to hate the Falcons or Saints more? Probably the Saints thanks to Sean Payton. But any 28-3 Falcons joke never gets old.