I for one always enjoy a good duel, be it against one or several people.
I also enjoy fighting in small melee scrims and against "non-my old friendgy" cav. (i.e cav that actually tries to go for it and not just scurries away at the first tiny hint of awareness to go backstab peasants) One time I met a cav that tried to lance me from behind and when that failed stopped, dismounted and gave me a good duel, that was really cool!
Archers are for the most part, well, boring. Boring to get shot by, boring to run after for minutes, and boring to kill since there's usually no skill involved as you just backstab them. That is not to say that there aren't good archers that I respect, Inhumane for example is excellent and fun, both as a teammate and as an opponent.
X-bows I find more tolerable, since they put out less total damage and cannot kite although some of them also run which is weird.
Now there are some mechanics that I think are bullshit (kiting, roofcamping, CT, archersdoingfucking100piercedamage etc.), but ignoring that there are some ways of dying that are "extra-lame":
1. Friendly arrow in melee fight.
This is my top annoyance since it happens so often, and the archers (well, and xbowmen and throwers, but they're less common) seem to never learn. DON'T STUPIDLY FIRE INTO MELEE! Getting a friendly arrow in the back is not only very frustrating but also devastating to a melee player b/c of damage and the stagger. Most of the time when they stagger you to death, they don't even apologize as well. "Fucking bullshit"
2. Friendly cav in melee fight.
Some cav tk:s are understandable, but a lot of them are just stupid. Like today I managed to dehorse a guy who carried nothing but a heavy lance. Moving in for the kil.... Couched by friendly. It's a bit the same as with archers, cav teamhits are more devastating than melee ones. Knockdown is a bitch, couch is almost always insta-death and well speed bonus tends to cause "fun" things to happen.
3. Rage teamhits.
This is not as common as the other ones but these "eye for an eye" guys who slash you back if you accidentally hit them really need to lay it off.
That said, I'd like to see cav with more 1v1 and head-on power but less backstab mechanics, horses with more ability to survive ranged, more shield survivability vs arrows, less runners and no ladders. Oh, and no polestagger.