Let's invent some very weird pieces

the bomber, it is a dwarf that carries around a bomb that goes off when the bomber is taken, and the bomber, at any time, can set off the bomb, functioning as a regular nuke, however, it cannot be used again, as it destroyes the bomber. also, the bomb does not go off when the dwarf takes peices, it goes off when the bomber whishes it too

ha ha ha is it still exactly 960?
not sure actually

Next piece idea:
A piece which moves and captures like a Knight.
On top of this, he can move to or capture on a square which is a Knight's move away from his previous position - but only when he does so on the immediate next move. (As if he 'remembers' these positions only during one move.)

Suppose the piece is on d4 then it could move to f5. On the immediate next move it can move to e2 because that's a Knight's move from d4. If you move another piece in between then only normal Knight's moves allowed.

I find this piece quite agile, so I will call it the Monkey. Now I will give exactly the same explanation but more elaborate and with diagrams.
The Monkey moves and captures like a Knight.
On top of this, he can move to or capture on a square which is a Knight's move away from his previous position - but only when he does so on the immediate next move. (As if he 'remembers' these positions only during one move.)
The following sample diagrams give an example. Suppose we start from this position:
The Monkey normally can make a Knight's move. So it could jump to h4:
Now if White would play Qi6-i3, intending a double attack, then Black could capture with the Monkey. because i3 is a Knight's move away from the Monkey's previous position:
But if White would play Rj8+, followed by Ka7:
then after Qi3 the Monkey has only normal Knight's moves and cannot take on i3.

Bringing back the Myths!
Trojan Horse: A knight, but whenever captured turns into a normal knight, destroying the piece that captures it. It also loses it's shield if it captures a piece.
Minotaur: a tanky piece that moves like a queen but can go past a piece that it captures but can't capture twice.
Medusa: A bishop like piece that freezes the pieces that are in FRONT of it (not directly)

the rocket: can move 2 squares to any direction+knight movement
it has the special ability to shoot down a piece like a rook

the blade: moves like a guard, can knock back a piece in the direction the blade attacked
note that it can only knock back pieces near it and it uses a move to knock
but it can knock back many pieces at a time
if the knocked piece goes off the board it gets captured
Snake: moves and takes as queen, but can be taken on any square it passes. So it can move from e4 to e8, but it can be taken on e5, e6, and e7 as well as on e8.

Shockwave: moves one step orthogonally (non-capturing); or destroys every piece a knight's move away (including friendly pieces).
Ritual Fusioner: king's move (non-capturing); when multiple friendly pieces are adjacent to the Ritual Fusioner, sacrifice 1 adjacent piece to give the sacrificed piece's move to one other adjacent piece (in addition to its regular move). Cooldown of 4 turns. Cannot give extra moves to your king. Cannot give a piece extra moves multiple times.
Ritual Combiner: jumps up to 3 squares left/right or up to 2 squares forward/back (non-capturing); when 3+ friendly pieces are adjacent to it, sacrifice 2 of them to link one of the sacrificed pieces' moves to the non-sacrificed piece (makes its regular move, then its acquired move). Your opponent selects which sacrificed piece lends its move.
Soul of the Dead: acquires the moves of the last piece you captured, and the last of your pieces captured. Cannot move until both players have captured a piece.
that means its time to make another variant by itself
What are your thoughts?
Use the old pieces and the way move, but change the goal of the game like KOTH of 3CHECK, Perhaps BulldogChess960? or Crayhouse Bulldog chess