Public Rental Databases

[Joseph Henry]

I typically use online listings to estimate what rent I could charge for a property. However, online listings seldomly reveal how old the listing is, whether the price has changed since its original posting, or when the listing closes. Some of this data is present in the MLS, but this only covers rentals that were handled by an agent (plus I have to go through my own agent to view this data and can't access the data on demand).

Are there public/paid databases that collect this information (either for free or for a fee)? Specifically, I'm interested in:
- Address
- Sqft
- Bed/bath count
- Listing rent
- Closing rent
- Time on the market
- Lot size
- Listing date
- Closing date

Again, I'm aware all of this information is on the MLS. But I'd like to run my own analyses on-demand and not have to go through an agent each time. Plus, I would like to include rentals that weren't listed by an agent. I didn't see other threads that addressed this question, but apologies if this has already been answered elsewhere.

Thanks in advance!