Byron said:I should be able to toffer some advice to your questions.
Starting with Bloodfins, Aphyocharax anisitsi...I would not recommend these in your situation. All species in this genus are on the nippy side, some much more than others. This is often brought out when the fish are combined with sedate fish (meaning non-active swimmers) or those with long fins.
The goby, Stiphodon atropurpureus, requires some specific environmental features that will have to be kept in mind when considering possible tankmates. [more here: http/www.seriouslyfish.com/species/stiphodon-atropurpureus/ ]. Water that is slightly cooler than normal tropical temperatures (in the range 22-26C, preferably mid range), and has a stronger current (not meaning rapids, but more water movement than many tropicals appreciate). These conditions are well suited to panda corys, so you might want to consider them.
To the corys...mixing species is never a problem. The species now classified in the genus Corydoras are all peaceful, none are aggressive by any stretch of the term. The few that can sometimes get a tad belligerent are the larger species now in Scleromystax. While levels of activity can vary, what you described would seem to me to be more stress-related and should calm somewhat. I am assuming these bronze corys are recent, and some corys take weeks to settle in to a change of environment.
The varieties of the Flame Tetra are all from the original wild species, Hyphessobrycon flammeus, so yes, they should get along together.
Diamond Tetra, Moenkhausia pittieri...I have had this species for many years, and I would not class them as aggressive by any measure. However, they can be very active, and perhaps this is what "aggressive" was meant to suggest, wherever you saw it. I would worry it might not like the stronger current though; it is native to Lake Valencia in Venezuela, and occurs in the vegetated parts and in slow-flowing lake tributaries.
One thought...you might consider moving the gobies to their own tank (a 20g long would be adequate) where you can provide their requirements better. This would leave more options for the 55g.
Byron.
So, let me tell you what happened yesterday. Before I left work, I checked this site to see anyone had offered any advice on the bloodfins. Not yet. I decided to go for it because all of the sources seemed to suggest that if kept in decent numbers, they confined their nipping to themselves. I figured I could update this in a few months and share my experience so that anyone in the future who is looking for info on bloodfins, would have one more source of experience to read. (I personally get my information from multiple sources: Seriously Fish, Animal-world, this forum, other forums or sites that come up in an internet search on the species I look for. I weed through what seems less reliable and compile the information as best as I can.) I also got a pearl gourami. Only 1 store out of 6 I went to had them at all. Apparently they aren't very popular right now. At any rate, I only got one because they suspect they all might be male (too young to know for sure). Then, I came home, acclimated the fish, added them to the tank, put the kids to bed, and checked this site again where I read Byron's advice above. OH NOOOO!!!!!! I MESSED UP!!!!!
Byron, what would you do at this point? Should I scoop out the bloodfins and return them to the store? Oh brother. This is why I am so hesitant to get fish. Because as soon as I do, it is invariably the wrong choice no matter how much research I do first.
[edit to correct spelling error]