Since noone seems to want to answer your actual question, I will give it a shot.
Both are quality vehicles and are made right.
IMO, the Prius is a little better because of the synergy technology, which gives it better gas mileage.
The Civic Hybrid is rated at 40 city and 45 highway.
The Prius is 48 City and 45 highway.
Both are excellent in reliability, as most other Honda's and Toyota.
There is no such thing as a 'hybrid engine'. The engine is made up of part gas and part electric. Noone has had to replace a battery in any Prius due to failure since it was introduced in 2001.
Even if they did, it is covered under a 7 year, 100K warranty (10 year 150K warranty in CA).
A CRX is a 2 seater that will get you about 50 on the highway max. They are also death traps if you ever got into a serious accident.
In addition, good luck finding one that isn't a POS since the last year Honda made them was 1991.