Could anyone suggest me most actual or appropriate analog of TOEFL (Test of English as a Foreign Language) for German?
TestDaF is what you're looking for.
It's the most appropriate analog of TOEFL since it's accepted by all German universities. And even the test-taking procedure is similar: you will be talking to a computer (and not a human being like in IELTS).
Besides TestDaF, three tests I've heard of:
Contrary to TestDaF, which is standard even worldwide, DSH (Deutsche Sprachprüfung für den Hochschulzugang) varies from university to university. And the name explains what it is.
The certificates of Goethe-Institut: Universities ask for a C1 or C2 level.
An option, which I don't know if is valid in Germany, is ÖSD the Österreichisches Sprachdiplom Deutsch.