Going to Extremes
The timings and tempi listed are for the whole movement, not the excerpts.

First movement
Excerpts. Each clip ~= 2MB.
Fast
Scherchen (1958)
This excerpt, m168-285, shows the best and worst aspects of this performance: a terrific intensity, but always on the verge of being undercut by the inability of the ensemble to keep together, or even to keep up.
14:29
(175 bpm)
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Beermann (1991)
Achieves 'speed' by rushing all the easy parts. This bit (m305-430) literally goes off the chart about 30 seconds in, running about 200bpm in measures 371-393.
14:45(171) download mp3
Slow
Klemperer (1970 Sep 25)
Exactly like Klemperer's earlier performances, but in slow motion. The players keep getting ahead of him, then correcting themselves.
Apparently recorded off the radio - note the high frequency noise at :27.
18:42
(111)
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Knappertsbusch (1962)
He always started below his 'main' tempo and then got warmed up; but this is almost static.
Another broadcast presumably preserved by an amateur.
17:18
(120)
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Second movement
Complete clips ~17MB, excerpts ~2MB.
Fast
Grossmann, Ensemble 28 (2002) excerpt
Although it's the fastest ever by a large margin, it doesn't sound completely ridiculous, as the second-place Norrington sometimes does. This is probably because of the very small orchestra (the eponymous 28). Regardless, the performance is not a useful experiment, as it simply gets faster and faster for no good reason, while Norrington at least has the necessary contrast between sections.
11:11 download mp3
Norrington, Radio-Sinfonieorchester Stuttgart (2002) excerpt
Certainly the liveliest funeral I've ever attended -- most of the movement is actually faster then Beethoven's marking.
12:07 download mp3
Slow
Celibidache, Munich P (1996) excerpt
At this tempo, it might be a lost fragment of late Mahler, or even Webern.
19:14 download mp3
Asahina, Osaka PO (2000 Jul 8)
Asahina recorded the Eroica nine times, often as part of a complete Beethoven Symphony cycle. In his last year, at age 92, he recorded a double cycle, with two performances of each symphony. This is from the first Eroica in that release - the other, recorded two weeks later, is significantly faster (18:26).
19:11 download mp3
Third movement
Complete clips ~6MB, excerpts ~2MB.
Fast
Sir Henry Wood, Queens Hall SO (1926)
One of the few early uncut recordings of this movement -- before the LP era, conductors would routinely omit one or both repeats to make it fit onto a single 78rpm side. This was issued on two sides: in 1926, 4:48 was still more than the engineers could manage. The orchestra's ability to put the music across at this tempo is impressive.
4:48 download mp3
Koussevitzky, London PO (1934)
This was the first complete version to be fit onto a single 78rpm side. Reportedly this took special attention from the studio engineers.
5:08 download mp3
Leibowitz, Royal PO (1961) excerpt
Like several of the early ultra-fast conductors (Scherchen, Gielen), Liebowitz was a specialist in modern works.
5:11 download mp3
Toscanini, NBC SO (1953)
A live performance, but approved for release by conductor. He was eighty-six.
5:22 download mp3
Slow
Klemperer, New Philharmonia (1970 Sep 25)
Really tedious, though it's nice to hear all the 'little notes' in the 3rd Horn part (at 3:31).
7:46 download mp3
Celibidache, Munich P (1996)
Surprisingly listenable, though the recording makes the horns sound like they're made out of plastic.
7:08 download mp3
Lombard, Orchestre National Bordeaux Aquitaine (1991) excerpt
A very odd case. The first two movements of this performance are quite lively, and then this. It's as if the conductor was hit with a tranquilizer dart.
7:07 download mp3
Fourth movement
Complete clips ~17MB.
Fast
Gielen, Cinncinnati SO (1980)
9:48 download mp3