na-adjective
national; state-level
Used to describe matters, policies, or concerns at the national level, often with a formal or official tone.
これは国家的な問題だ。
This is a national issue.
国家的なプロジェクトに参加する。
I participate in a national project.
全国的 means 'nationwide' (across the whole country), while 国家的 refers to matters of the state or nation as an entity.
Compound of 国家 (nation, state) + 的 (-like, -al).