Ok, one thing first of all, Root and Nuke doesn't work in DAoC. dmg breaks all forms of croud controll except snare and stun. snare kiting can be tricky, and stuns last only 9-10 seconds at their highest efficiency.
now, as for soloing, there are several excelent choices.
in albion:
Necromancer - every action the necromancer does is through its pet. the necro itself is invulnerable while its pet is alive, but cannot directly affect anything. once the ept is killed, the necromancer dies incredibly fast. however, this is generally concidered the best solo farming class in the game, as well as PLer. necros can chain kill with almsot no downtime. not a good class for pvp.
Sorcerer - can charm enemies making them thier pets. combined with arguably the best croud controll spells in the game, the sorc can usually solo multiple even cons. they have a spell to increase their mana regen, as well as lifetaps, minimising their downtime. highly sought after for groups as well for both PvE and PvP. can be a bit tough to get the hang of, but very powerfull once mastered.
minstrel - stealth, speed, charms, CC. as mentioned before, the misnt can be an effective solo class. a jack of all trades, minstrels can uually adapt to any circumstance.
Theurgist - Theurgs, no matter hwo they spec, have access to fire and forget pets. they last about 30 seconds, but you can cast large numbers of them. you can overwhelm opponents a few levels higher than you solo, but this is very mana heavy and has signifigant downtime. not the best solo class, but it is possible with patience and theurgs are sought after in pvp for interupting opponent healers and casters.
Midgard
Bonedancer - a one man army, the bonedancer can controll up to 4 pets at once. the most common spec, supression, give them access to an instant cast lifetap spell with a 4 second cooldown, and healer pets to summon under their bone commander (consider this pet the general of your army. it is the oly one you directly controll. when it dies, so do its subordinant pets.) this combo makes bonedancers very difficult to kill in most situations.
Hibernia
Vampiir - this class is made for soloing. it comes with its own buffs, in the form of permanant stat boosts (but is unable to recieve additional buffs) its above average melee damage, high dmg DD spell, and Heal over Time make Vamps very difficult to kill. they have a uniqe power system, as their power is gained through their melee dmg and a special opening bolt spell.
Warden - my personal fav, as it is my class. Wardens are excelent soloers, as well as groupers. they have a spell which neutralizes one melee hit every 6 seconds at its highest rank. this is agroup chant, so all group members egt the benefit of this simultaniously. they have stat buffs, heals, and can specialize in a weapon too, making them very efficient. they are a defencive class, and suffer from low dmg output, but can outlast most melee opponents 1v1. benefits from post 50 expantion advancement more than soem other classes.
mentalist - their light spec is similar to the sorcerer, but not nearly as efficient. the charm is pulse bases and can break. but they have a decent dmg output in the light spec nuke. mana spec can solo effectivly with patience. its dmg output is DoT based, but they have an extremely powerful HoT and mana regen spells.
enchanter - a pet class that in its msot common spec recieves an extremely high dmg PBAoE nuke. with practice, enchanters are able to pull decent numbers of lower level mobs with their pet, let the pet gain enough agro through a high dmg focus dmg shield, and then go in for the kill witht he PBAoE finishing the group in 1-2 casts.
while other classes can be soloed extremely effectivly, these are some of th emore common choices for those who wish to remain their own company whenever possible.
hope this short list helps for chosing a solo class.