Here I would lower the temperature to 76/77F. I find that in most cases, this temperature works for similar mixes of fish species. Now, there are exceptions.
Angelfish were mentioned as needing warmer temperatures. This is true for wild caught fish which, like discus, require above 80F. But commercially raised fish do not, and around 77F will be fine [I'm assuming you do not have imported wild angels].
The corys are OK with low to mid-70's but 77F will not be stressful. I have many species of almost exclusively wild-caught corys and they are all at 76/77F and spawning regularly and living long, so this seems to work. Some species can manage fine at warmer temperatures, like C. sterbai mentioned, and this is why they work so well with discus. But my wild C. sterbai have lived for years and gone through the spawning process in my 76/77F 115g.
There are species requiring higher temperatures that would have difficulty in the mid-70's but not those mentioned in your post.
Most reliable sources will give temperature ranges for a species, and one needs to remember that unless specified otherwise, the lower and upper end of the range is what the fish can manage short-term, but the mid-range is the long-term temperature. The higher the temperature, the more energy the fish uses just to maintain its internal homeostasis, which is the various processes that keep the pH of its blood steady, strengthens the immune system, provides good digestion, blood circulation, and so forth. Making the fish work harder at doing these essential things is going to wear them out. Think of how you tire more when exercising in hot weather; same principle, except with the fish this is literally burning them out because the temperature remains where we set it so there is no respite, and they do not have the ability to regulate their internal temperature.
In the wild, water temperatures usually vary with the depth, overhanging vegetation, stream flow, etc, and fish can move accordingly. This is not the case in the aquarium. And most of us maintain the same temperature 24/7, which is certainly not the case anywhere in nature where these fish live. Some advocate two sets of heaters on timers, one warm for the daylight, the other cooler for the darkness, and there is food for thought in this approach.
There is an article on another site that delves into temperature, and the author suggests not heating tanks if the ambient room temperature remains in the low 70's F. It is an interesting concept.
Byron.