There is no other definition for the three conformance levels. A is the lowest level, AAA is the highest level. These levels don’t correspond with disabilities nor their prevalence.
The section Understanding Levels of Conformance from the Working Group Note Understanding WCAG 2.0 gives some examples "of the common factors evaluated when setting the level":
whether the Success Criterion is essential (in other words, if the Success Criterion isn't met, then even assistive technology can't make content accessible)
whether it is possible to satisfy the Success Criterion for all Web sites and types of content that the Success Criteria would apply to (e.g., different topics, types of content, types of Web technology)
whether the Success Criterion requires skills that could reasonably be achieved by the content creators (that is, the knowledge and skill to meet the Success Criteria could be acquired in a week's training or less)
whether the Success Criterion would impose limits on the "look & feel" and/or function of the Web page. (limits on function, presentation, freedom of expression, design or aesthetic that the Success Criteria might place on authors)
whether there are no workarounds if the Success Criterion is not met
So if a Success Criterion is essential for accessibility, easy to implement, without suitable alternatives, and relevant for most typical websites, it’s more likely to get conformance level A than AA/AAA.