I don't know other programs, and I can't see that Legacy will produce a chart that contains all relatives on one side of a family where it branches away from the "ancestral line".
A descendants' chart will certainly contain a lot of people if they're in your database! I've generated one just now on a line that goes back 15 generations, and if printed on A4 paper it would be more than 30 pages wide.
If there isn't a chart there that suits your needs, perhaps you can make a suggestion to Legacy to add one? See "Suggest a new feature" in the Support box under the "Legacy Home" tab.