Based ideas

1pt for fastest lap outside of the top 10
1pt for 2nd fastest lap
1pt for slowest lap
1pt for having the best looking livery (by vote).
1pt for fastest pit stop
1pt for being first in to change to the correct tire (wet-dry)
1pt for driver with the best hat and moustache combination
minus any championship pts for running out of fuel.
minus any championship pts for having too much fuel.
minus 5pts for turning up late
Plus 20pts for turning up
minus 30pts for turning up way too early (sucking up to the host)
minus 5pts for any name starting with the letter 'F'
plus 5pts for any name starting with the letter 'X'

(calm down it's satire - throw some ideas in)

It is pretty amusing to read though. Imagine losing points for the lack of activity on perhaps just one race. Yikes!