The Aedile (of which there were four after 421 BC) was the supervisor of public works. He oversaw the public works, temples and markets. (Therefore there must have been some cooperation with the censors who had similar or related duties.) Also he oversaw the organization of festivals and games, which made this a very sought after office for a career minded politician of the late republic, as it was a good means of gaining popularity by staging spectacles.
In 367 BC BC the refusal of the plebeian aediles on one occasion to stage circus games for the length the senate desired, led to the senate simply creating two new patrician aediles, the so-called curule aediles (aediles curules) who then obliged in staging the games for the appropriate length of time. The curule aediles were hence of senior authority. But within twelve months the differences were settled and also plebeians were allowed into the curule aedileship.
The Quaestor (of which there were four after 421 BC, and ten after 267 BC) was in charge of the military and civic treasury of Rome as well as keeping records. (Therefore there must have been some cooperation with the censors who had similar or related duties.)
Further the quaestors also acted as aides to the consuls. This office was the lowest of the magistracies, the beginning of the 'ladder of honour' which would lead to the office of consul.
The minimum age at which one could stand for this office was 25, allowing time for service in the legion. The first ever plebeian to take office as quaestor did so in 409 BC.