It took me a while, back when I started, to figure out what the ぎり (giri) in all these attack names is, but it's actually quite simple. Take the verb 切る (kiru), or any of the varients that mean aproximately "to cut", noun-ify as 切り (kiri), and then tack it onto another word for the pronounciation shift to 'giri'. That's right, it just means "cut", or "slash", which sounds better IMO.

かまいたち is listed in my dictionary as a cut caused by a whirlwind. I've seen several attacks with this name in various anime and video games, and they all involve extremely violent winds that have a tendency to rip things to shreds. A Japanese-Japanese dictionary I checked refers to a phenomenon (usually occuring in extreme cold) in which the vacuum caused by tiny whirlwinds cuts the body like a scythe, even without anything solid touching it.

Crono must visit Spekkio at the Farthest Reaches of Time and unlock the ability to use magic to learn ★Thunder.

Crono is the only magic-user to get the strike-all attack spell as the fifth technique instead of the sixth.

HP restored is exactly 10 times Crono's magic power.

At equal level and magic power, Crono's ★Shining is stronger than either Lucca's ★Flare or Magus's ★Dark Matter.

The JP version states outright what I had long suspected: This is supposed to be a holy attack spell.

Marle must visit Spekkio at the Farthest Reaches of Time and unlock the ability to use magic to learn ★Ice.

...by causing Haste status, also provided by wearing a Haste Helm.

The NA version is mistaken. Though the spell is quite powerful, it still depends on magic power and won't always fully heal unless Marle's magic power is high enough (around 40?).

Lucca must visit Spekkio at the Farthest Reaches of Time and unlock the ability to use magic to learn ★Fire.

...by causing Protect status, also provided by wearing a Protect Helm or using a Protect Ball.

Robo Tackle is unusual in that Robo's equipped weapon doesn't affect the damage. Only his level and power matter.

ベロ (BERO) is slang for tongue. ロン (RON) is probably supposed to be a licking noise. Put the two together, and....

Frog must visit Spekkio at the Farthest Reaches of Time and unlock the ability to use magic to learn ★Water.

The NA version is mistaken. Though the spell is powerful, it depends on magic power and won't fully heal unless Frog's magic power is high enough (around 40?). As far as I can tell, Frog's ★Curega is identical to Marle's. It may seem weaker in practice because Frog's magic power is lower.

Marumajiro is an enemy name. To be consistent, the NA version name ought to be "Roly Kick", but it isn't.

Certain enemies are unthrowable, and Rock Throw will always miss them.

いろじかけ (irojikake) also means "Venus flytrap", but I think a more literal meaning is more appropriate here. ウワ～ン (UWA~N) isn't a word, it's more of a sexy giggle. I sort of... winged... the translation.

Tail Tornado is special, because it's one of only two techniques in the game to inflict damage that is neither physical nor elemental (the other is Poyozo Dance). This means it can damage even foes that are immune to physical and null or absorb all elements (i.e., are supposed to be invincible), which is interesting, though not truly useful.

This is probably not the same as Crono's ★Thundaga, but Crono's magic isn't as easy to boost to match Magus's as Marle's and Lucca's are.

This is not the same as Marle's ★Icega. At equal level and magic power, this version inflicts about 40-50% more damage.

This is not the same as Lucca's ★Figa. At equal level and magic power, this version inflicts about 40-50% more damage.

...by causing Barrier status, also provided by wearing a Prism Dress or using a Barrier Ball.

★Dark Mist is no more damaging than ★Dark Bomb. Use ★Dark Bomb whenever the enemies are grouped together.

★Black Hole is an instant death attack on all enemies near the caster. Any enemies that avoid dying outright are unaffected.

The ぶん (bun) in the description makes it more sudden, forceful, or violent. (refer to compounds like 打ん投げる).

The JP name (kaminari kamitsuki) sounds almost poetic with the balanced syllables and repetition.

Like ★Curega, it's not actually full healing unless the magic power's high enough.

As a side note, Icewater is a great technique, especially early on, because it's cheap and hits all enemies.

This one, I think, really is full healing regardless.

See my notes for Ayla's Flirt; they apply here too. This has exactly the same effect as Ayla's Flirt, but probably has a higher success rate. Though some enemies do have two items to steal, they aren't technique-specific, and you can get both with either technique. Use Marle's turns for something else.

I can't help but wonder whether that 'v' is a typo, and if not, what it's supposed to mean

Like Frog's Frog Drop, Frog Flare inflicts damage proportional to how badly Frog is hurt.

Like ★Curega, it's not actually full healing unless the magic power's high enough.

Specifically, おたちだい (otachidai) refers the stand where important people (like the royal family) stand when greeting, etc. large groups of people.

Certain enemies are unthrowable, and Hell Throw will always miss them.

Slurp Kiss's power depends only an Ayla's magic power, and is fairly respectable even with very low magic. Boost Ayla's magic and it's as good as Double Curega, for a fraction of the cost.

Curious about the name? Take a good look at Ayla when she lands....