North Carolina (Updated December 29, 2022)

There are two Harrah's Cherokee casinos in North Carolina.

One of them, simply called Harrah's Cherokee, has a number of very good (albeit somewhat high variance) machines to rack up tiers at minimum average loss. This is also a fairly nice place to visit, as it's right at the entrance of Great Smoky Mountains National Park, and isn't too far from scenic Asheville.

The other one, Harrah's Cherokee Valley River Casino & Hotel has no good games, aside from some super-high-limit ones.

Below is a list of games at Harrah's Cherokee. All are located in the "new high limit room" (next to the table games area), unless otherwise indicated.

These machines have $1/$2/$5 denominations, but only the $5 variation has the good pay table!

Also, Harrah's Cherokee changed these games to $25 per tier credit sometime in 2019, but changed it back recently to $10 per tier credit. However, make sure to verify it's $10 per tier credit, by watching your tier credits build as you play.

25-16-10-4-4 Deuces Wild ("Not So Ugly Deuces") $5 per credit, 1-play (99.73% return): Find these in new the new high limit room next to the table games area. Strategy for this game is here. Do NOT play the one near the center atrium spiral staircase, as that is $25/tier credit.
Average loss getting to Diamond: $135
Average loss getting to Seven Stars: $1350

The below machines can also be found in the new high limit room:

9-6 Bonus Deluxe $5 per credit, 1-play (99.64% return): Same strategy as Double Double Bonus Poker. As this will be $25 per hand, expect some variance.
Average loss getting to Diamond: $180
Average loss getting to Seven Stars: $1800

9-5 White Hot Aces $5 per credit, 1-play (99.57% return): Same strategy as Double Double Bonus Poker. As this will be $25 per hand, expect some variance.
Average loss getting to Diamond: $215
Average loss getting to Seven Stars: $2150

9-6 Double Double Bonus Aces and Faces, $5 per credit, 1-play (99.46% return): Same strategy as Double Double Bonus Poker. As this will be $25 per hand, expect some variance.
Average loss getting to Diamond: $270
Average loss getting to Seven Stars: $2700

9-6 Double Double Bonus Plus, $5 per credit, 1-play (99.44% return): Same strategy as Double Double Bonus Poker. As this will be $25 per hand, expect some variance.
Average loss getting to Diamond: $280
Average loss getting to Seven Stars: $2800