Youtube Analytics API for website

Seeking Youtube Analytics and/or Youtube APIs such that:

General Info
- Ideally, API will be a common programming language (e.g. PHP) that can run on a typical website
and not require additional software (free or paid).
- Can capture input from a typical web-based form
- Can return output from query in a manner (e.g. JSON) that can be presented with a web view.


Case 1:
1. Enter: a) dynamic keywords [e.g. kitchen pantry organization],
b) time range [e.g. last 90 days]
c) User Ratings [e.g. likes/dislikes]
d) Geographic Info [e.g. Country, Country State]
2. API responds with list of most popular videos [i.e. by views]

Case 2:
1. Enter: a) A General Category [e.g Organization],
2. API responds with a list of most popular keywords

Case 3:
1. Enter: a) dynamic keywords [e.g. kitchen pantry organization],
b) time range [e.g. last 90 days]
c) User Ratings [e.g. likes/dislikes]
d) Geographic Info [e.g. Country, Country State]
2. API responds with list of Trending videos

Please submit similar API previous work.