The sample (with a bit of history)

The height of each column shows the number of recordings made in each half-decade. The shadings in each column show how much information I have about each of those recordings (darker is better). Thus, my information about recordings from the 20s and 30s is (theoretically) more complete than about recordings of the 1990s.
Key
I have a complete copy (387)
I (at least) have the first movement (393)
I (at least) know the timing (411)
I (at least) know the recording date (489)

The discography makes a distinction between official and unofficial recordings. For this study, an official recording is one made for general commercial distribution. In practical terms, this is another way of saying "planned and brought to market by record companies", as opposed to a broadcasting or other organization.

The results show a bit of recording-industry history. For example, the large number of recordings from 1950-1965 might give the impression that the record companies were more active than in later years. But this is not the case: many of those recordings were made by broadcasting organizations, and only issued on disc many years later. Instead, the highpoint of record-making activity (as far as the 'Eroica' is concerned) turns out to be 1985-1995.

The large number of unofficial recordings from 1950-1965 shows that this period is considered a golden age by many connoisseurs. Every known performance by Knappertsbusch has made it to disc, probably every Furtwängler, and possibly every Klemperer as well; from an earlier period, Mengelberg and Toscanini can also be heard 'complete'.

Unfortunately, not all conductors benefit from this thoroughness. The final performances of Klemperer, Knappertsbusch, and Giulini, for example, memorialize their longevity more than their musicianship.

A trend which is too new to show up on this chart: ensembles self-publishing new recordings on their own private labels. Already there is Gunter Herbig / Royal Philharmonic (1994) and Hans Vonk / St. Louis Symphony (1997); perhaps we can look forward to Michael Tilson Thomas / San Francisco Symphony, or Colin Davis / LSO?

It will be interesting to see how this develops.