Chess variants with game dynamics close to chess

Some chess variants have only a few added rules/changes. For others, there are several changes. At the extreme, there are a lot of changes so that one could rethink actually calling them chess variants. But, how does the dynamics of the game differ from chess?
Sometimes, the change is so small but the game dynamics changes a lot (e.g. duck chess). Sometimes, there are many changes, but the game doesn't feel too different from chess. So, I invite you to rank the chess variants you are familiar with in the order of how close the game dynamic is to chess (top one closest to the game dynamic of chess, in your opinion). Please write why you think the game dynamic is close to or far from chess in a few words. The variants you include need not be playable here in chess.com, but should preferably be already recognised as a variant by chess community. 
Recommended formats:
Format 1

1.  <variant1>: (short reason for rank)
2. <variant2>: (short reason for rank)

Format 2

1. <variant1>
2. <variant2>

Reason for ranking: .....(detailed reasoning)....

.

1. Chess with checkers: Almost same as blindfold chess, I guess (I admit I don't have experience with this one).
2. Chess with opposite-side castling (same side castling not allowed): Almost same as chess, encorages more agressive play. 
3. Odds chess (comment: could be equal material): Basically, chess with different opening strategy
4. Bronstein chess: Basically, chess with different opening strategy. And simpler than 960 and set up chess. Playable at pychess.
5. Chess 960: Same reason as above. At current position only because of slightly complicated castling rules.
6. Double chess: Same as two chess games played side by side, but encourages finishing the game quickly when you can win and stretching the game out when you are losing.
7. King of the hill: The additional way of winning the game does not change the game dynamic too much until half of middle game imo (also not possible to checkmate in the middle of the board).
8. Horde: Different from chess, but requires at least two skills useful in chess in higher dose-- (1) breaking open a position, (2) playing against multiple passed pawns.
9. Set up chess: Good practice for understanding desirable position of pieces in early middle game.
10. Chaturanga: Lack of stalemate and difference of movement of bishop are indeed major changes. 
11. 3 Checks: Differ from chess by encouraging aggressive play (from hereon this is abbreviated as {aggressive} ).
12. Crazyhouse: {aggressive}
13. Fog of war: Inability to see opponents games makes it far from chess, and luck is a big factor. But, on the plus side, encourages controlling more space. 
14. 4 player chess
15. Chaturaji
16. Bughouse: {aggressive}
17. Atomic: {aggressive}
18. Minihouse
19. Duck chess
20. Antichess/giveaway
21. Spell chess
22. Racing kings
23. Villagers chess

Chess with checkers is basically the same as normal chess, have never felt a difference. (Not even close to blindfold)

I have no experience with villagers chess. Where would you place it?

Update: I personally find the changes to be big; I wouldn't call them small changes.

Opposite-side castling (one can`t castle in the X-side if the opponent has castled in this side) should be the #1 (most similar), since it encourages black to use openings where the opposite castling happens naturally

"Chess, but game is won by capturing king" is very close to chess; only stalemate is absent. Is it considered a chess variant?