Barometer topics covered are governance, democracy, politics, justice, corruption, trust, tolerance, economic perception, civic culture.
These started in the late 90s/early 2000s. Depending on the survey, some mix of countries in the region are included. The methodology and questionnaires vary for each barometer.
There are several:
Note that while these are not run by the same Global Barometer organization, there are many surveys with a similar "countries within a region" design:
If you don’t see the country you are looking for, try googling the country name plus “barometer survey.” I was able to find a few more similar surveys this way.