Is ICAI or ICMA or ICSI or any similar institutions in line with it is covered under purview of definition of educational institution given under entry 66?
Yes they are covered since they are recongnised by Law like ICAI is a statutory body established under an Act of Parliament i.e. CHARTERED ACCOUNTANTS Act of 1949.
Agreed ,But on a further note to be "a qualification recognized by law in India for time being in force" it should be i.e ICAI and other similar bodies should be approved under University Grants Comission..