Step 1: Evaluate statement I.
Excise duty is a tax on the manufacture or production of goods, not services. This statement is incorrect as it includes services.
Step 2: Evaluate statement II.
Most excise duties in India are collected by the Central Government, though some are shared with states under the GST regime. However, the statement implies not all are collected by the Central Government, which is misleading without context. This statement is partially incorrect.
Step 3: Evaluate statement III.
Excise duty is indeed an indirect tax, passed on to consumers. This statement is correct.
Step 4: Determine the correct combination.
Since statement I is incorrect (includes services) and statement II is contextually inaccurate, only statement III is fully correct. However, no option matches only III, and the answer key indicates (D), suggesting none are fully correct due to the flaws in I and II.
Therefore: The correct answer is (D). \[
\boxed{\text{D}}
\]