REMOVE CAMPAIGN FOR ALTS (It's depressing)

Helm: Thrillsteel. You can wear a Goldrim for act 1 if you want.
Body: Tabula Rasa. Most corrupted implicits will add a level requirement, so don't do that if you only have one.
Boots: Seven League Step. Cheap alternative: Nomic Storm. Also note that ALL lab enchants will add a level 52+ requirement to these, so watch out for that if you buy a pair and NEVER enchant a 7LS.
Belt: I almost always wear Perandus Blazon for early attribute padding, but you can get some very useful mods on String of Servitude or some free damage from a Meginord, Prismweave, Replica Primweave, etc. Obviously, if you've got a Mageblood or Headhunter you might as well throw it on when you hit level 40/44.
Gloves: Lochtonial Caress until 15, then Flesh and Spirit (optional upgrade to other rampage gloves later). Rampage gives you movement speed, so there is no justifiable alternative unless you're levelling as Hollow Palm. It literally is "Rampage or nothing."
Amulet: Depending on how many attributes you need, Astramentis/Carnage Heart/Karui Ward. Anoint with Graceful Assault (Purple Purple Black) for cheap extra QoL.
Rings: I always wear two Doedre rings. Up to 40 mana gained instantly on kill is beyond god tier while speeding through zones, and they'll cap your resists in act 1. Honorable mentions/alternatives for SSF are Kikazaru, Perandus Signet, Rigwald's Crest, and Le Heup of All. Avoid Praxis and Dream Fragments unless you have literally nothing else: Praxis because most skills in a 6L cost too much to be free even if you double up, and Dream Fragments because it's not available until you no longer need it because at level 24 you should be running Purity of Elements.
Flasks: 3 Quicksilver flasks, pre-Enchanted for full automation. So long as you roll them with different prefixes, they'll offset nicely on their own and remain active 100% of the time if you choose "when charges are full." Otherwise, just set them to re-use at end of effect and work through them in sequence.

Now, obviously weapons are going to vary by general build archetype but this is mostly common sense: casters want a pair of +1 wands or scepters, archers want Silverbranch and Roth's Reach, melee want some basic progression of the weapon type allowed by their chosen skill (for instance, Limbsplint > Wideswing > Reaper's Pursuit > Blood Reaper > Sinvicta for most 2h builds). None of this should cost more than a couple chaos in total, if you have to buy these incredibly common items for some reason.

Skills and supports: I always run both Vitality and Clarity as soon as I can, dropping clarity when I hit 24 and can run Purity of Elements. Run Onslaught in your main damage setup until you can equip the Thrillsteel. Do NOT run any crit or crit-scaling supports until you get to maps; you won't have enough passive tree investment to make it worthwhile so flat damage supports are far better. Consider Elemental Overload or Resolute Technique, if applicable and close to your planned tree.