For support of 2 to maybe five bands without needing a tuner (fewer bands tends to be easier) I'd add: 4. A set of resonant parallel dipoles (aka fan dipole). A handful of HF bands isn't too tough with fairly simple antennas. Full coverage of every HF band or harder yet, continuous coverage of all HF frequencies with an efficient antenna (e.g. no resistive loads to yield wide SWR bandwidth) is much harder without something like a log periodic array mentioned above.