I read somewhere an interview with a Dunmer farmer, and that he retired or would retire at around a hundred, and then spend another 20 years or so sitting around with the other old Dunmer. Can't remember the exact source, but if you go off that, then the average lifespan of the dark elf on the street would be about 120-130. Obviously mer that don't have to spend all their time toiling in the fields breathing in lungfuls of ash and putting up with various maladies have a much longer life, as evidenced by Barenziah.
This is true, whenever this question comes up (which is extremely often) it is usually agreed poor elves can live to about 120.
Barenziah was born in 2E893, making her 436 years old. Assuming her lifespan is typical (no good genes, etc.), that would mean most Dunmer live to be 450 or so, assuming war/disease/accidents don't claim them.
Barenziah is as rich as rich gets though. On Earth, humans with the best healthcare and diet can live to 110, but most people in poor countries don't live past 60. so if we're to use the above as an indication, rich Dunmer live close to four times longer then poor ones in the best circumstances (which also includes access to mages). I'd postulate their maximum lifespan is close to 300 without much use of magic (but still with good diet and healthcare). The maximum human age is 100 (like on Earth) and Orcs are stated to live to a maximum of sixty, but usually due in their forties (due to the curse).
Its really hard to figure how long the elvish lifespans are, beacuse of their very easy access to magics. However, with the Dunmer age established, I shouldn't see the Bosmer living much longer. However, in the case of the Altmer, its really hard to pinpoint seeing as most use magic. However, they are quite inbred, which is also important to consider.
As for the beast races, no hard evidence at all for their ages. My guess is similar to humans.