B → B+
I've been using Honchkrow a lot lately and it always served me well. Now yes, it does have flaws in its below average speed, mediocre defenses, a Stealth Rock weakness, other priority users (despite having a strong priority move itself in Sucker Punch), and its tendency to over rely on Sucker Punch to mitigate its speed issues. The reason why it should rise? NOTHING SWITCHES IN EXCEPT MEGA AMPHAROS AND MEGA AGGRON (Cresselia to an extent)! It has an amazing movepool that allows it to cover would-be counters like Rhyperior and Empoleon with moves such as Superpower and Heat Wave. It even gets Pursuit to trap slower Psychics such as Slowking (a relevant threat in the current meta), or if you want, you could run a set consisting of Substitute and Roost to last longer along with its Dual STAB at the cost of some coverage as it also prevents Honchkrow from getting revenge killed. Even if Honchkrow can't sweep by itself, it can use its powerful wallbreaking capabilities to wear down checks that it may or may not share with teammates, bulky waters in particular appreciate Honchkrow's ability to remove non-substitute Heliolisk, especially Mega Blastoise since it supports Honchkrow by getting rid of Rocks, Bird Jesus (Mega Pidgeot), Lord Zap (Mega Amphy), and Anti-Offense (Mega Aero) also appreciate Honchkrow wearing down their checks. Below are some calcs of its power.
252+ Atk Life Orb Honchkrow Sucker Punch vs. 0 HP / 4 Def Heliolisk: 305-360 (115 - 135.8%) -- guaranteed OHKO, only other bird that can hit Heliolisk and OHKO before getting hit is Aerodactyl.
252+ Atk Life Orb Honchkrow Superpower vs. 252 HP / 0 Def Empoleon: 406-478 (109.1 - 128.4%) -- guaranteed OHKO
252+ Atk Life Orb Honchkrow Superpower vs. 248 HP / 0 Def Solid Rock Rhyperior: 218-257 (50.3 - 59.3%) -- 80.1% chance to 2HKO after Leftovers recovery, technically Rhyperior can switch in once but without reliable recovery, teammates have no trouble killing it.
252+ Atk Life Orb Honchkrow Sucker Punch vs. 248 HP / 164 Def Slowking: 361-429 (91.8 - 109.1%) -- 56.3% chance to OHKO
252+ Atk Life Orb Honchkrow Brave Bird vs. 248 HP / 164 Def Slowking: 270-320 (68.7 - 81.4%) -- guaranteed 2HKO after Leftovers recovery
252+ Atk Life Orb Honchkrow Pursuit vs. 248 HP / 164 Def Slowking: 182-218 (46.3 - 55.4%) -- 10.9% chance to 2HKO after Leftovers recovery, Slowking is forced to play mind games with Honchkrow and one mistake will end it.