Both are very equal it seems, with only some minor differences. Disque isn't used in production systems yet so most likely the real comparisons will arrive when Disque is more mature.
Some key differences are that beanstalkd offers (feature wise):
1. Bury / kick
2. Priorities
3. Designed for speed
And Disque:
1. Designed for HA, scalable, distributed
2. Fault tolerant
3. Peek to multiple jobs
With the amount of momentum behind Redis and the fairly unknown beanstalkd, I guess Disque will gain popularity quite soon.
Some key differences are that beanstalkd offers (feature wise):
1. Bury / kick 2. Priorities 3. Designed for speed
And Disque:
1. Designed for HA, scalable, distributed 2. Fault tolerant 3. Peek to multiple jobs
With the amount of momentum behind Redis and the fairly unknown beanstalkd, I guess Disque will gain popularity quite soon.