From the EAA website, April 30, 2020:
Wholesale extension of flight reviews and proficiency checks only applies to operations requiring a commercial certificate or higher.

Extension of flight reviews for private pilots is limited to those with a total time of 500 hours, with 400 hours as PIC, and having logged 50 hours PIC in the last 12 months, and only for flight in support of a business, for humanitarian relief operations, for family medical needs or transportation of essential supplies for personal use, or to reposition the aircraft for required inspections.

There are also limited allowances for medical flights under exemptions and private agricultural flights. The FAA has offered no relief from aircraft maintenance or inspection intervals, such as annual inspections.

Due to the limited nature of many of the SFAR's provisions, some recreational pilots and aircraft will be unable to legally fly, due to an inability to obtain annual inspections and flight reviews. That ability varies widely from state to state, as each state has differing public distancing and business operation guidelines that affect the availability of services.

EAA is also actively working with the FAA on broad policy relief to allow experimental aircraft to be relocated after the expiration of their annual condition inspection for the purpose of maintenance and inspection.