Other than the ones, except rivalry, that you mentioned. There's a bunch of global effects. The one similar to rivalry would be cute charm though.Static makes wild Electric types more common. Magnet Pull does the same for Steel types. I have heard there are others that do the same, like Swarm (bug) and Storm Drain (water). Is this true? If so, what other abilities with this affect exist?
I tried Swarm and found that I did encounter many more Scythers and Venomoths than usual.
I have also heard that Rivalry makes Pokemon of the opposite/same gender more common. Which is true?
Arena trap - More wild encounters
Compoundeyes - +chance of items being held
Cute Charm - 66.6% chance of opposite gender
Hustle - 50% chance of higher level encounter
Illuminate - Same as Arena trap
Intimidate - less chance of lower level encounters
Keen Eye - Same as Intimidate
No Guard - Lower encounter rate
Pressure - Same as Hustle
Quick Feet - Same as No guard
Sand Veil - Decrease encounter rate in a sandstorm
Snow Cloak - Decrease encounter rate in a blizzard
Sticky Hold - increased bites in fishing
Suction Cup - Same as Sticky Hold
Synchronize - 50% chance of same nature encounters
Vital Spirit - Same as Hustle
White Smoke - Same as No Guard