Talking about Lucky Chant, I could rather retool the Critical Hit system:
Only 5 Stages:
Stage 1: 1/16 (6%)
Stage 2: 4/16 (25%)
Stage 3: 8/16 (50%)
Stage 4: 12/16 (75%)
Stage 5: 15/16 (94%)
Then, the High Critical Hit moves could have now 25% of chance to land a Critical Hit, making them more viable (because 25% is something to consider, like the Burn Rate of Scald, while 12% is just not enough to consider at all...), and taking in account all the High Critical Hit moves are actually outclassed (exceptions: Lugia's Aeroblast, Vespiquen's Attack Order, Crabhammer, Leaf Blade, Shadow Claw, Night Slash, Spacial Rend, Stone Edge), but if we look at the distributtion of the exceptions;
Lugia really needs the ocassional extra punch with Aeroblast, Vespiqueen could overstall some threats better with Attack Order, Crawdaunt and Kingler will really love the ocassional extra punch on Crabhammer, specially Kingler, who can't use Waterfall, Sword Dance Virizion could be as viable as Calm Mind Virizion with Leaf Blade, and some RU and NU Grass Type could really like the sightly buff, too, Shadow Claw users (who can't use Night Slash) and Bannete could like the sightly buff, too, the same goes for Night Slash users (Zoroark, Liepard, Absol, Honchkrow, Weavile, Bisharp) and it's Normal friends who use it as coverage, Spacial Rend doesn't need any buff at all, but Palkia could now use it more than Draco Meteor, Stone Edge is actually a great move, but it's horrible accuracy is notable, so, it's users could like to have at least more Critical Hit ratio as exchange (almost the same chance to land a Critical Hit as it had to fail!)
As for the other (now outclassed moves) respect, Blaze Kick may see more use from part of Infernape and Monferno, Cross Chop users will really like it's buff, Cross Poison could see more use than Poison Jab, and more when you don't like to poison stuff too offen (because you can't badly poison them), and Drapion with Sniper will love to land Critical Hits with it. Fearow will really love the buff to Drill Run thanks to Snipe, incresing the viability of it's niche, and it's other users, like Rapidash, could like to land more Critical Hits with it as they need all the power that they can get, Psycho Cut could now be used over Zen Headbutt without any problem, Razor Wind + Power Herb may see some more uses in Doubles, specially when you stricke two Pokémon in one turn with it, incresing the chance of land a Critical Hit, and Slash may see some uses paired with Sniper, or Super Luck, or Focus Energy.
By other hand, the Critical Hit related abilities will have a decent buff with this:
Anger Point: Primeape, Krookodile, and Camerupt can switch into a resisted hit that you know is having High Critical rate (by the ways of items, abilities, or moves), and make your way to an instant sweep. On doubles, there're more options for setting this up with the retool, like your partner using Focus Energy and having Razor Claw, and later setting you up with Razor Leaf.
Battle Armor / Shell Armor: This ability can see some uses as now some Pokémon will try to attack you with Critical Hits, so, it's a good cushion for some defensive Pokémon, making it less worthless.
Sniper: If you pair it with Focus Energy and Razor Claw/Scope Lens and/or High Critical moves, then you can really aim for a clean sweep with just 1 turn of setup, and it can even be a mixed sweep!
Super Luck: High Critical Hit moves + Razor Claw/Scope Lens and this can give you a nice 75% chance of Critical Hit, making it a bit risky, but really worth to have now, Togekiss could even see a future abussing of Critical Hits on place of ParaFlinching. If you add Focus Energy to the mix, then you can have an almost flawless Sword Dance + Nasty Plot boost on just one turn, with the plus of bypassing Calm Mind and other threats! As standalone, 25% is still nothing to totally ignore.
And as far as items comes:
Lansat Berry: It can now see some uses with the help of Substitute, as it can now act as a Focus Energy replacement, if you use the correct moves, you can then land to a 75% Critical Hit rate (higher than the accuracy of Focus Blast, similar to Stone Edge), or even 100% with Super Luck, or you can just start to shooting any attack and hope to get a Critical Hit. Sniper user's could see this as the better Pinch Berry for them, too. It's still a bit risky and sometimes not worthy, anyway.
Lucky Punch: Nope.
Razor Claw / Scope Lens: Now a viable option if you pair it with Focus Energy or with High Critical Hit moves as it can be better than Choice Band/Specs/Life Orb with the enough luck, but by alone, it's still not a worth option; except maybe on bulky wallbreakers as they can play it's chance more times.
Stick: Farfetch'd could see a use in NU as wallbreaker with this, or maybe not, it's still a good option for the bird in-game, anyway.
And as far Critical Hit related moves come:
Lucky Chant: It still needs a buff, they can buff it's duration by the ways of making it eternal, or eternal as long the user is still healthy on the game, or increse it's duration to 20 turns, or at least 10. Taking in account the buffs to Critical Hit-related moves, then it could also see some uses on balanced teams as a way to being safer from those metods and random standar critical hits. Stall could love this if this get even a sightly buff.
Focus Energy: An offen called joke move may see uses now as it can be paired with excelent results with other metods to increse the Critical Hit ratio, users of High Critical Hits move could offen use this on place of it's standar set up moves, as this can have better results, and Snipe users will really like to use this thing now as they can with the correct combination to increse it's damage output by 3. It's also a option as standalone for those Pokémon who doesn't had Sword Dance, Work Up, or Nasty Plot, and are somewhat bulky as they can now play it's chances to being deadlier.
So, I could be happy if the Critical Hit system could be retooled like I said, and at the same time it's still not making any change to the people who doesn't have any critical hit related move, ability, or item, as the retool could only buff those things.