I think the Khergits have one of the best looking armours. The nomad armour looks great, and I have always liked the Khergit guard helmet (with the tassel on top). One faction I don't much like the appearance of is the Nords; the banded armour which huscarls wear isn't very appealing to my eyes. Vaegirs are good; I like the way most of their troop types look. The lower tiers with their leather jerkins or lighter armour wield axes and spears and carry kite shields, and I think this combination of weapons and armour suits them well. I also like heavier infantry which wears a hauberk and carries a pike. I am not keen on the Swadians, though their lower tier troops look better than the higher tiers. With most men at arms riding armoured warhorses and wearing the plain red surcoat over mail, they just look like tanks, very bulky and not stylish. The crossbowmen look better, with their combos of haubergeon or aketon with padded coifs or 'helmet with cap', and I like how the Footmen are kitted out nowadays (think it changed in a patch after release), with the tunic over mail.
Rhodoks I'm not so keen on, nothing about them really inspires me apart from their bascinets with aventail and kettle hats. The padded cloth they have is nice, but many troops have the ragged cloth instead, which not only is less appealing to my eyes but also makes less sense regarding its stats (it is both lighter and more protective than the padded cloth, yet it is a crude layering of clothing which offers asymmetrical cover for the front of the body, and certainly looks heavier).
Sarranids look stylish, certainly the most flamboyantly dressed of the factions, and they have well made armours, from the skirmisher right up to the heavy mameluke armour.