Speaking with regards to the Republic, I know about the Dictators, Masters of the horse(s?), Consuls, Praetors, Aediles, Quaestors, Tribunes of the Plebs, and Censors, but people always tell me that there were still more "less important offices" that "weren't worth discussing".
I'm too curious, what exactly are these offices? What did they do? How were people appointed to them, and exactly how many were there? I love reading about the guts of ancient governments, and even the most minor office is simply fascinating to read up on, so I'd love if someone could introduce me to these supposed lesser offices of the Roman government. :)
There weren't many other positions in the Roman government, but there are a few little curiosities that come to mind.
ab actis senatus - This was a young senator responsible for taking the minutes of senate meetings. Before Caesar this was an unofficial position and minutes were only occasionally published. Caesar wished the senate to be more transparent so he mandated that all minutes were to be published, which required a formalised full time position. We don't know how they were appointed. Augustus stopped the publication of the minutes, but kept their recording so this minor position continued for some time, at least into the reign of Marcus Aurelius, but we do not know when it was terminated.
triumviri monetales - This position shifts about a lot throughout the Roman Republic under a variety of different latin names and operated under the authority of the Questors and later the Praetors, but they were responsible for minting coins. We do not know if the were elected or appointed.
triumviri capitales - These men ran the prisons and monitored executions under the supervision of the urban prefect. They were established around 290 BC but we don't know when they were disbanded.
triumviri mensarii - Basically the central bank of Rome. They were responsible for the issuing of loans, credit etc. from the public treasury for investment. They seem to have disappeared by the time of Tiberius, as during a financial crash in 33 AD people lined up outside the Praetor's office and the triumviri mensarii is not mentioned. Either they operated under the authority of the Praetor or their responsibilities had been rolled into the Praetorship when the rise of the Principate made the old Praetorship a bit redundant.