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Improved Familiar

Source PRPG Core Rulebook pg. 127
This feat allows you to acquire a powerful familiar, but only when you could normally acquire a new familiar.

Prerequisites: Ability to acquire a new familiar, compatible alignment, sufficiently high level (see below).

Benefit: When choosing a familiar, the creatures listed below are also available to you. You may choose a familiar with an alignment up to one step away on each alignment axis (lawful through chaotic, good through evil).

You can find the full list of available Improved Familiars here.

Improved familiars otherwise use the rules for regular familiars, with two exceptions: if the creature's type is something other than animal, its type does not change; and improved familiars do not gain the ability to speak with other creatures of their kind (although many of them already have the ability to communicate).

Mythic Improved Familiar

Source Mythic Adventures pg. 67
Your familiar gains some of your incredible resiliency and insight.

Prerequisites: Improved Familiar.

Benefit: For every 3 tiers you possess, your familiar gains a +2 bonus to an ability score of your choice. These bonuses stack. Your familiar adds your tier to its natural armor bonus and to its spell resistance (if it has spell resistance).