Your circuit works as drawn but the base-emitter is reverse polarized (instead of forward). The transistor will still work but with significantly smaller amplification.
The only other possibility is that you have mistakenly reversed the emitter and collector pins (and got them connected properly, unlike the schematic).
As
As for your intended circuit, I think you could just stick with an NPN as indicated in the 555 schematic, but you could also use a PNP transistor while connecting its emitter to the V+ supply side and the bulb between 0V and the collector.