There are 10 statistics on Parking functions in the database:
(and possibly some waiting for verification)

St000135Parking functions ⟶ ℤ
The number of lucky cars of the parking function.
St000136Parking functions ⟶ ℤ
The dinv of a parking function.
St000165Parking functions ⟶ ℤ
Sum of the entries.
St000188Parking functions ⟶ ℤ
The area of the Dyck path corresponding to a parking function.
St000194Parking functions ⟶ ℤ
The number of primary dinversion pairs of a labelled dyck path corresponding to a parking function.
St000195Parking functions ⟶ ℤ
The number of secondary dinversion pairs of the dyck path corresponding to a parking function.
St000540Parking functions ⟶ ℤ
The sum of the entries of a parking function minus its length.
St000942Parking functions ⟶ ℤ
The number of critical left to right maxima of the parking functions.
St000943Parking functions ⟶ ℤ
The number of spots the most unlucky car had to go further in a parking function.
St001209Parking functions ⟶ ℤ
The pmaj statistic of a parking function.