I was trying to get accountability index of countries but what kept coming up on google is corruption index.
Hi, one of the WorldBank's CPIA indices is defined as:
CPIA transparency, accountability, and corruption in the public sector rating.
It's a mix. Maybe not what you are looking for but at least freely available. So you might want to check it out.
Long definition: Transparency, accountability, and corruption in the public sector assess the extent to which the executive can be held accountable for its use of funds and for the results of its actions by the electorate and by the legislature and judiciary, and the extent to which public employees within the executive are required to account for administrative decisions, use of resources, and results obtained. The three main dimensions assessed here are the accountability of the executive to oversight institutions and of public employees for their performance, access of civil society to information on public affairs, and state capture by narrow vested interests.
Saludos, debes investigar sobre la transparencia de los Estados en la gestión pública. Claro está, esa información como es oficial, puede ser sesgada, te invito a que indagues en web de derechos humanos y así pudieses hacer balance. Por otro lado, el indice de corrupción es importante en el sentido de comprender cómo algunos países están tomando en serio el erradicar este flagelo y como otros simplemente están a la saga.
https://www.expoknews.com/son-estos-los-paises-mas-responsables-del-mundo/
http://www.scielo.br/pdf/rae/v54n1/a04v54n1.pdf
En estos links podrán encontrar indicadores, muy probablemente no lo consigas como "responsabilidad de los países", tal vez como Índice de desarrollo social, transparencia de los estados, políticas sociales entre otros. Saludos.