Why we cannot see non-EU countries in European statistics?

Non-EU countries aren't so often included, because they don't want to. Write to your national statistical agency to learn why is it the case.

In the Eurobarometer Survey on Entrepreneurship India and Brazil were 

More democracy for EU

This absolutely take away sovereignty from member states. They are in direct control over European Council.

Transferring the power to the individuals necessarily infringes sovereignty of the state.

The representatives wouldn't act for member states, but for their people.

The state is not the country and the state is not the people.

This is not semantics. The state is not the people. Germany due to its sovereignty was legally perfectly fine to exterminate its Jews, although it infringed rights of individuals.

takes power from the national governments and gives it to the people

This is exactly how taking away sovereignty looks like.

The supreme, absolute, and uncontrollable power by which an independent state is governed and from which all specific political powers are derived; the intentional independence of a state, combined with the right and power of regulating its internal affairs without foreign interference.

The Free Dictionary

Davos 2013 - The Global Development Outlook (Ban Ki-moon, David Cameron, William H. Gates III, Helene D. Gayle, Paul Kagame, Paul Polman, Queen Rania Al Abdullah)

Is education equivalent?

That's another point. According to 2009 PISA results 

(excluding computer proficiency) only Estonia and Poland have above average education results, while countries with low completion rate like Belgium, Netherlands and Iceland have above average results.

Worrying is situation in countries like Turkey, Italy, Spain, Greece, Portugal, France, and Ireland; where completion both rate and education results are below average.

The standard of living in Soviet satellites

As you all can see on the on the graph of coronary disease death rate (measure for living standard) in 1960-1990period rising

 

and in 1990-2005 dropping.

Edit: Child mortality trends[3] 

 

 as a bonus.

How European Parliament seats are split

This is mathematics - Banzhaf power index.

Homicide rate in Europe

Lithuania and Estonia had dropped below 7, Turkey and Latvia below 5, Germany and Spain below 1.

These were more violent times.

Statistics up to 2010 or so [xls]

Edit: There was decrease in the number of homicides in EU between 2005 and 2010 by about 2000, that is amazing.

Oh, and numbers for Finland and Sweden are obviously wrong. Sweden has lower homicide rate, between Germany and Denmark, and Finland about twice as high, higher than Bosnia and Herzegovina.