As a long time Packers fan, there are teams you look forward to playing against. Here is my favorite match ups :
NFC NORTH - BEARS
NFC CONFRENCE - COWBOYS
AFC CONFRENCE - STEELERS

NFC North CHICAGO BEARS
NFC MINNESOTA VIKINGS
AFC DETROIT LIONS (They play like a lot of AFC teams.)

There are no teams outside of the NFC North I would consider favorite teams to play.

The AFC doesn't matter to me at all. Over the years I recognize some teams have been typically stronger organizations and some are perennial weaklings. Playing them once every 4 years and with them not necessarily coming to GB every 8 years makes it difficult to feel much of a bond. My neighbor is a KC fan so it would be fun to get together for the Super Bowl if they both make it. Other than that I have no reason to favor one team over another.

In the NFC it is a matter of the level of disdain I have for other teams.
Fans from the NFC East are for the most part some of the most obnoxious fans around so I don't care for any of those teams.

Level of unlike:
CAROLINA PANTHERS
ARIZONA CARDINALS
ATLANTA FALCONS
TAMPA BAY BUCCANEERS
NEW ORLEANS SAINTS
LOS ANGELES RAMS
SAN FRANCISCO 49ERS
SEATTLE SEAHAWKS

Special category for NFC-E:
WASHINGTON REDSKINS
NEW YORK GIANTS
DALLAS COWBOYS
PHILADELPHIA EAGLES

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Da Bears and “Mini-soda” are the top hated teams for me.

The Cowboys because of the times they beat us in the 1990s.

Other then that, there aren’t many teams I dislike that strongly.

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Hated teams are Minny, Dallas & Seattle. I want to hate the Bears, but as someone who has been a fan since 1993 Chicago has rarely been a team that competed and the rivalry has been pretty one sided.

With respect to teams I enjoy playing against I would say Minny as a rival and because they are a popular team in Canada so even here there are many fans that troll each other. I enjoy the Packers playing against the Bills in Buffalo as I often know people in the crowd. I love going to games in Buffalo and am hoping to catch the Packers there one day. Unfortunately they rarely play against each other.