I'll try to make a team workable for nuzlockes.
Typhlosion: by far, my favorite Pokemon of all time. johto doesn't have many fire types, and two of the better ones sans typhlosion, arcanine and houndoom, are hg exclusive or safari zone catches, respectively.
Recommended item: Choice Specs. This may sound like crazy talk, especially since I said I was making a nuzlocke suitable team, but the choice specs are basically custom fit to typhlosion, due to his high spA, lack of stat boosting moves, and high power stab with few Pokemon immune.
Eruption(lv49cynd/lv57else): This move is simply beautiful. Same base power (at full health) as hyper beam and blast burn (150), special, 100% acc, and has no recoil, stat drops, or recharge associated, essentially being gen 4's answer to gen 1 hyper beam.
Flamethrower(lv37cyn/42else): Two stab moves on a set may seem strange, but eruption becomes weaker as typhlosion's health drops, and it only has 5pp. flamethrower gives backup for these places, and lets you conserve uses of eruption.
FocusBlast(tm52(department store)): This move is here for one reason and one reason only: karen's dang houndoom. Flash fire makes it immune to fire moves, so focus blast gives a specs boosted SE hit, though its shaky 70% acc means it's only there for when you need it.
Solarbeam(tm22)/swift(lv)/earthquake(tm26): typhlosion doesn't have many options left, so here are a few ideas. solarbeam is good coverage, but needs sun to be useful. Swift is just mentioned due to specs boost and not missing. EQ gives good coverage, but other Pokemon may want it and it doesn't get specs boost.
Ampharos: The holy grail of early captures, ampharos has excellent bulk and SpA, only lacking speed. It shares exp curve and similar evolution levels with starters, helping it keep up. nuzlockers who missed one on route 32 can snag a primo egg.
Item doesn't matter too much.
Tbolt(tm24)/Discharge(lv): tbolt is better, but not worth the game corner time.
Signal beam: Special bug move helps with karen and coverage.
Powergem: learned late, but well worth it: special rock move makes for awesome coverage and hits lance's whole team se.
Last move is filler; focus blast for more coverage, or lightscreen or twave to support team.
Espeon: May not be the popular choice for psychic type, but she's bulkier than alakazam, and gets better support options
Psychic: Stab. psybeam works until psychic learned
Calm mind: stat booster, but need frontier tm (not as big a problem as plat, given more game to go)
Psychic and Shadowball Stay
Reflect+LightScreen: normal runs can ignore this, but a dual screens is pretty slick in nuzlockes, halving damage from physical and special moves for 5 (8with kightclay) turns, and it sticks around when you switch. Baton pass is worth note for escape from pursuit, but staying eevee until lv36 isn't usually worth it.
Red Gyarados: grind free gyarados at lv30 as soon as 4 badges? yes please.
Moves: Note that same set works for feraligatr, but swords dance in place of DD
Waterfall: Physical Stab
Ice Fang: Coverage
Dragon Dance: Boost both atk and spd
Dragonite: Game corner or ES, take your pick. Both are awesome.
Moves: honestly, just make it what you need on the team, be it tank, sweeper, support, or anything else. heck, you could even use it as an hm mule that can still fight.
DragonClaw/Outrage: Physical Stab, reliability vs power, though a tm is needed for claw.
Firepunch/EQ: coverage with dragon vs steels.
Roost/Extremespeed/DragonDance/DracoMeteor:Just a few more options to mix and match. Roost heal 1/2 max hp. ES always goes first, but dragon master exclusive. Dragon Dance boosts atk and spd, but redundant if using ES. Draco Meteor a power special dragon move for finishing off foes, but halves SpA, so should be only special move on set. Really, dragonite does whatever you need it to.
Lapras: It's only available fridays deep in union cave, but it is very bulky and all stats are good besides speed. Can easily be used as hm mule if needed, but here is a special attacking set (Atk and SpA same, but gyara covers physical)
Surf: you need it anyway, and it gets stab.
Ice beam: Stab and learned by level up
Psychic/DragonPulse/Tbolt/Whirlpool: Choose two; psychic needs tm, but is a nice move. Dpulse nice since lapras is one of the few Pokemon pre e4 to have enough spA to use it. Tbolt has same issues as mentioned for amphy, but provides perfect neutral coverage with ice beam. Whirlpool is just hm, not good, but practical, and coverage still good with one of above moves.
Note: Don't give cut to in party mons, even hm slaves, as you only need it for that first tree.
Furret makes an excellent hm slave, learning cut, surf, strength, whirlpool, and rock smash.