I'm looking for a database or a collection of the chess results of all
FIDE-rated games (standard time control).
Such a database exists but only on FIDE's computers and they don't make the data easily available in its entirety.
The data is available but you have to select and download one tournament at a time. Here's how:
Go to the FIDE Ratings Archive page. There you have the ability to Browse Rated tournaments by country. You select a federation from a drop-down list and a period from another drop-down list and click on the "go" button. For instance if you select "Russia" and "April 2019" then you get this page.
The first two tournaments are rapid tournaments but the third looks like a standard tournament. On the end of the row of that tournament there is a hyperlink "inf" for information. If you click on it then you get the general tournament information including time control and, indeed, it is
Standard: 90 minutes with 30 second increment from move 1
Scroll down a bit further and there is a crosstable element with a blueish icon next to it. Click on it and you get the results of all the games in the tournament.
If you go back to the page with the list of tournaments for Russia for April 2019 you see similar blueish icons on the left side of the page next to the tournament names. These will take you to the same place more quickly.
If you are determined to get all the results going back to July 2001 then you can do so by building your own web crawler to navigate the site automatically and screen scrape the cross table pages for all the tournaments in all the periods for all of the federations, extract the data you want and build your own database.