There are very few computer-era symmetric ciphers that were truly broken. RC4 is probably the worst example.
There are no reasonable attacks even on the good old DES. And by "reasonable" I mean attacks that would bring down the complexity to a practical level if the DES key size were to be extended to something like 128 bits. We can brute-force DES keys trivially, but that's not a fault of the cipher per se.
RC4 is a good example of what Aumasson means when he jokes about weak symmetric cryptography being a quirk of history. It's genuinely weird that RC4 was as popular as it was! DES is broken because it's small, with tiny keys and an 8-byte block. But if it had 16-byte keys and blocks, and presumably a higher round count, the only dealbreaker with it might be that it'd be slow.
RC4 was fast in software for computers with weak CPUs (like 80286 or even 8086, which were still in use during the nineties) and no hardware assistance for cryptography. DES had been designed for computers that had a special DES hardware accelerator.
Moreover, together with RC2 it was approved for export from USA, during a time when this was prohibited, so it was included in browsers from the beginning.
When the export rules were relaxed, it was trivial to increase the key length of RC4, which could be chosen arbitrarily, so that appeared as a simple way to enhance the security of the existing Internet browsers.
This lead to its ubiquity in the early SSL.