I asked a similar question on Quora before, but did not get any useful answers as the program the one answerer suggested turned out to have the exact same problems as all others I have found so far.
Most programs for the construction of phylogenetic trees—being made for researchers in various biological disciplines—seem to rely on the input of a dataset that is a formulation of collected genetic and/or anatomical data.
Specifically, I am looking for a program that is like this, but with a GUI that allows tree editing (i.e. you can add and remove new taxa), for example, poorly described/novel theoretical species, dubious species, and subspecies and can be used to create simplified versions of charts like these.