Donations to Diaper Banks lists that monetary contributions to charitable entities are included. Is this ONLY for entities that are Diaper Banks?

The diaper banks have to pre-approved by the government.  

Amount of donations of certain disposable diapers, certain hygiene products, and certain monetary gifts made by a taxpayer during the taxable year to certain qualified charitable entities that are registered with the Comptroller (the maximum subtraction amount is not to exceed $1,000 per taxable year). To qualify for this subtraction, you must enter the value of the donation and the name of each qualified charitable entity to which a donation was made. The Comptroller may verify the donation with the qualified charitable entity.  Source: Resident.