I vaguely recall some deductible, or rebate related to use of a bicycle for commuting that applied in some parts of the USA - it had applied to cars for years, and only just (at the time) been extended to bicycles.
Here we have the imperfection that is the Cycle To Work scheme (if your employer runs it).
Otherwise, governmental incentives supporting reduction of Britain's congestion and CO2 emissions from transport are mostly tied into coal powered electrimagical cars.