The items that let you choose
Eight items spend a level-up to give one back on your terms. What each can actually offer, and the six the game never says.
Almost every pick in a run is one of four things the game offers you. Eight items break that rule: they take the pick and hand it back as a choice, which turns a level-up from a lottery into a decision. That is worth a great deal at the exact moments a run is decided, and very little the rest of the time.
Candybox offers a base-game weapon you have unlocked and 
Arma Dio an extra passive, while 
Belnades' Spellbook and its four Ode to Castlevania siblings each cover one family - spells, magic whips, vampire-killing tools, magic weapons, ambiguous powers - and offer from the eight lines you evolved to earn them. One of them is the only route to an item at all: 
Parm Aegis says so in its own tip, and cannot be found any other way.
When one is worth the pick
- Rarely in the first five minutes. Early on almost anything you are offered is something you want, so a chooser is paying a level to avoid a problem you do not have yet. The exception is a run you have planned in advance and want to start on rails.
- When one passive is all that stands between you and an evolution. This is what Arma Dio is for. A recipe waiting on a single passive is a recipe the level-up screen can refuse to offer for ten minutes, and a chooser ends that wait outright.
- Late, when the pool is mostly things you have. The fuller your build, the worse the odds that a random offer is useful - and the better the odds that a chooser is the only way to reach the one item still missing.
Where these lists stop
The five Ode to Castlevania selectors show the eight weapon lines the game asks you to evolve before it offers them, which is exactly what those lists are. The game hands them a few rarer weapons on top - Grand Cross, Dark Rift, Soul Steal and the rest - and files those under no selector in particular, so the Grimoire does not attach them to a guess. Super Candybox II Turbo names no list at all. Everything on this site is what the game states, precisely so it cannot go stale, and the place a list stops is worth as much as the list.
What the Grimoire will not guess at, the handbook can still say plainly. Super Candybox II Turbo names no list because it does not keep one: it draws its offer from your own history, showing the evolutions you have completed at least once in an earlier run and have not yet rebuilt in this one. That is the whole reason to chase it - it can hand you an evolution outright, its unlock achievement included, without your ever assembling the recipe by hand. What it will not offer is as settled as what it will: the midpoints of multi-step evolutions, every Morph and Gift, and a handful of top-tier weapons the game keeps to their own routes, Infinite Corridor and Crimson Shroud among them.