I don't know that any were "specifically geared" for avalanche operation.
2N2369(A) is a gold-doped switching transistor -- it is to 2N3904, what 7400 series TTL logic transistors are to average analog fabs of the time (e.g., what got used on LM324s and such). Vce and hFE are lower, but t_stg is much lower. (Whereas a non-gold-doped '2369 might be rated for 60V, it's only rated for 15; whereas LM324 and such are typically 30-40V rated, TTL is rated 7V -- presumably it's a bit more heavily doped in comparison.)
BTW, don't fall into the trap of insisting on 2N series (JEDEC registered) parts. You probably want PN2369 or MMBT2369 (TO-92 and SOT-23 respectively). JEDEC registration includes package as part of the spec, so you will always get the TO-18 in this case, and you will always pay for it (whether it's more expensive new, or salvaged from something and you're getting ripped off).
Same with 2N2222(A), which is a painfully weak registered part to begin with. Use 2N4401/3 instead, for general purposes.
Avalanche. I suspect all BJTs will avalanche, at some combination of Ic and Rbe. Some avalanche easily -- over a wide range of Rbe, and starting at low Ic -- and some do not.
Also, large junctions are useless. A power transistor only avalanches in a small pinhole location, so it isn't capable of handling pulses any greater than, say, 2N3904 is, before a hole gets burned through it.
ZTX415 is the only one I'm aware of, and it's probably not so much designed for it (AFAIK, it's a completely stock FZTxxx) as tested for it (hence the greatly jacked up price -- the testing is probably slow, and at a low production rate). Mind that it is slower than the smaller transistor types, having a typical risetime in the 4ns range, whereas 2N3904 will do 1 or 2ns and MMBT2369 will do under 1ns.
Tim