I have probably one of the most varied weapon repertoires of anyone that plays UO.
Weapons: bokuto, butcher knife, cleaver, katana, kryss, no-dachi, ornate axe, radiant scimitar. I do not have any personal favorites. I could list bows as well but I play dexxer's more.
PVM
1. SSI
2. HML
3. HLA
4. HSL
Circumstances depend on the weapon, but SSI at least 20, everything else 40 or higher.
PvP
1. SSI
2. Hit spell (40 or higher is nice)
3. HLA or HLD (depends on what gear I have equipped...these flip-flop)
4. HLD or HLA (HLD is kind of irrelevant if I am using Mace and Shields. HLD stacks proportionately, not additively).
5. HSL (HML used to be really nice back in the day but I value it a touch less).
Lastly, it goes without saying that I do not care about HCI or DCI on a weapon. Those things make you married to a weapon and already being capped in both areas allows me to use my whole arsenal of weapons.
Lastly I use diamond maces, kama, and other weapon variations but the listed ones are my more used ones. You might be surprised, with the right mods, every weapon has it's use.