If you're going for a competitive Typhlosion, don't waste your moveslots with Physical moves. He's got about the same attack power as Mienfoo, so if you want to run a physical fire type, you're better off using something like Arcanine or Infernape. Typhlosion doesn't have time to screw around with stuff like Aerial Ace or Rock Slide, and he definitely doesn't have any time for using Howl.
I can't believe there was only one mention of eruption. It's practically his signature move. He's one of the few pokemon in the game capable of learning it, and he's easily one of the best candidates for the move. typhlosion is a pretty frail pokemon, so if he gets hit with somehing, he's probably not going to survive it. If you're concerned about stealth rock of something, then consider using Fire Blast or Overheat as a second fire move, that way you can activate Blaze when his health falls, and you constantly have a powerful fire move at your disposal. In that situation, any of the fire moves will work pretty well.
Some other noteworthy moves are:
Flamethrower (for blaze activation, but more reliability than fire blast or Overheat)
Lava Plume (if you want to spam a burn chance, though I like the way the move looks, I would just run Scald on a bulkier pokemon or use Will-O-wisp with something Typhlosion doesn't have time to screw around)
Focus Punch (the only reason I would suggest a physical move on him is to break through Chansey or Blissey)
Extrasensory is good if you're choiced, and you need to break through something like Infernape. Not to mention the occasional flinching is nice.
solarbeam is great on him, but rarely does a sunny day set work well, especially if he has to hold a heat rock. Just use sun support from Vulpix/Ninetales if you really want the full effect.
Hidden power is a godsend for Typhlosion, as it gives him the coverage he needs. Grass can break through all his weaknesses, Ice can hit dragons, ground can deal with stuff like Heatran, barring a Balloon of course, or you can fit it to what he may need.
While unreliable, Focus Blast is a move you'll see on him every now and then, mainly for the coverage, and the fact that it can help him ground Heatran.