1a Space Mission
1b Royal Flush
1c Super Flite
1d Aztec
1e Big Indian

I've played all of those, and enjoyed the hell out of all of them. I'd buy all five if I had the room and the means.

I have only played two on your list, Royal Flush and Space Mission. I would go with Space Mission.

I have played all of them:

1) Aztec
2) Big Indian
3) Royal Flush
4) Super Flite
5) Space Mission

Note: All of them are good games and all just a little bit better than the other.

Played all:

1) Super Flite/Strato-Flite. House favorite by all. Pinball and non-pinball people.
2) Royal Flush. One of the ones I grew up on. Still a favorite today.
3) Space Mission. Beautiful game, but I find it to easy.
4) Big Indian
5) Aztec. I’ll never sell mine, but it’s a drain monster. Great 4 player fun.

I have played all 5, here is my order:

1) Super Flite
2) Royal Flush
3) Big Indian
4) Space Mission
5) Aztec

I would seriously just try to swing a deal for all 5, however.

I have not played Super Flite, so can not rate it. My order of the rest:
1. Royal Flush
2. Big Indian
3. Space Mission
4. Aztec

Aztec
Royal flush
Big indian
Super flite
Space mission

Royal Flush has it all- multiplayer for playing with others, fun bright colors and theme- backglass looks great! Large drop target bank to shoot at. Pretty straight forward on what to shoot at for the novice and pro.

Check out the reviews for Royal Flush. I think several folks have said it better than I can:
https://pinside.com/pinball/machine/royal-flush-gottlieb/ratings#rating-comments

The main takeaways:
Strategy - go for jokers first or just hit the drops? Drop targets from forehand or backhand? Card hands lead to different point totals. Targets behind the drops for optional scoring. More points for those targets once all drops are down.
Shots - Left lane back to the top = tough to hit. Drop targets, i.e. the important things, can lead to instant death. Ricochet to get into the lane to open the gate. Right side off the rubber and past the pop bumper to get back to the jokers.

One ball can win it all. Interesting geometry and a simple ruleset that can be difficult to complete. Slightly different scoring for 3 ball versus 5 ball (3 ball has double bonus on Ball 2 and 3, 1K for pop bumper hits and targets behind drops always lit for extra points). Getting all three jokers for Special is a rare occurrence on my game.

I'd go with Big Indian. Find Royal FLush a little overrated myself.

get them all

In spite of some who discount the pinside top 100, it is a list composed of thousands of verified pinheads over a decade and a half with specific rating criteria included. I have placed the pinside ratings below for your convenience.

Pinside top 100 ratings as of 7/3/2019:

Super flite #50
Big Indian #51
Royal flush #63
Space Mission #111
Aztec #172

Hi Mpluff
as others have said: Get them all. I do not like the pinside-rating*** --- ipdb says to "Game Play":
- Big Indian 7.77
- Space Mission 7.85
- Royal Flush 7.91
- Aztec 8.11
- Super Flite 7.17, Strato Flite 7.42
On Your list the Big Indian is my Number-1 (a friend has one), then Space Mission (I have one), then Royal Flush or Aztec - I do not remember well the Aztec, the friend has an Royal Flush. On Royal Flush we must accept "Bonus" is more like a tricky playfield-feature - rather then a simple bonus-ladder.
Then as last the "Super Flite" - its some 40 years since I played Strato Flight. Not so crowded playfield - but good to aim at, shoot - and hit (when You are good).

pinside rating*** - in the top ten pinside EM-pins there are only two from the 1970ies, Number six is from 1958 ...
Greetings Rolf

Royal Flush.

I have Card Whiz, the two player version. It looks simple but it is not. Build the poker hands to maximize your bonus. Playfield is nothing to look at, but the backglass is very nice.

1.Space Mission
2.Royal Flush
3.Aztec
4.Big Indian
5.Super Flite