Thanks for sharing about this important topic. I'll be curious to know things, if any, that you advise not to put in the compost tea.
It really depends what you are doing with the resultant solution. I would stay away from meat or any plants that have not broken properly if you are making applications around food crops. Stay away from fresh manure (would burn plants+pathogens) in this context. Dairy products need special treatment so avoid them too. I would avoid putting any poisonous plant in directly. Most of these problems get resolved beforehand if you take your time with it and make really good home compost. In you are making compost for compost tea which is a very good way to go, bear in mind all this stuff breaks down overtime, but dodgy stuff needs plenty of earthworm/microbial action and to be left much longer until you cannot make out what it is anymore. Also be careful of dangerous plants such as those with foxtails because handling them can be risky.