I've got my IDTA book in front of me now, so I can check on those other figures you asked about. I don't really know them though, so these descriptions may not be the best, but I'll do what I can to help.
Waltz: Fallaway (FA) Natural Turn -- now that I look at it, the first three steps look pretty similar to steps 2-4 of a tango Fallaway Promenade. Man does RF fwd in CBMP and PP on 1, LF side in PP on 2, RF back RS leading in FA on 3. Man turns about 1/4 R between 1 and 2 while lady only turns 1/8 R between 1 and 3 (man keeps her in PP/FA). On step 4 the man steps LF back in CBMP and FA while the lady steps RF back in CBMP and FA and allows her LF to cross loosely in front of RF while making 3/8 turn L using a spiral type action. Step 5 is RF back for man, LF fwd for lady and step 6 is LF side/sl.fwd for man, RF side/sl.back for lady. The ending prepares to let the man step OP on the following figure. Standard 123123 timing, basically normal rise/fall (but you're up on 3 and 6 instead of continuing to rise on those steps), no sway listed.
Foxtrot: Quick Natural Weave -- mainly a timing variation of the plain Natural Weave, but there's a footwork change, too. A regular Natural Weave is SQQQQQQ, rise on the end of 1, up from 2-7, lower on the end of 7. The Quick Natural Weave is SQ&QSQQ (2, 1/2, 1/2, 1, 2, 1, 1), rise end of 1, up on 2-4, lower end of 4, down on 5, rise end of 5, up on 6-7, lower end of 7. Curved Three Step -- kind of a turned Three Step, but there is a difference. Since the lady basically mirrors the man, I'll just describe the leader's part. Step 1, LF, HT (with CBM), facing LOD, rise end of 1, sway = straight, a S step. Step 2 is RF fwd a small step, R shoulder leading, T, toward alignment of 3, up, L sway, a Q step. Step 3 is LF fwd in CBMP, TH, facing DC against LOD or facing against LOD (made up to 1/2 turn L), up on 3, lower end of 3, L sway, a Q step. For reference, the Extended Reverse Wave is basically what I said, but the book's description is steps 1-6 = 1-6 of the Reverse Wave, steps 7-9 = Back Feather (but a note says it can be danced with the lady in line), steps 10-15 = 4-9 Reverse Wave. There are alternate endings listed though.
Quickstep: Tipple Chasse to L -- it looks like the lady mirrors the man here, too, so I'll just do the leader's part. I guess it is basically a mirrored Tipple Chasse to R, but to me it seems kind of like a Progressive Chasse to R (but to the L instead). Anyway, step 1 is RF fwd in CBMP OP, HT, facing DW, start to turn R, start to rise end of 1, use CBM, a S step. Step 2 is LF to side, T, backing DC, 1/4 turn between 1 and 2, continue to rise on 2, a Q step. Step 3 is RF closes to LF, T, backing LOD, 1/8 turn between 2 and 3, continue to rise on 3, a Q step. Step 4 is LF side, TH, backing LOD, no turn, lower on 4, a S step. Sway is either none or sway to L on 4. The knee of the LF flexes a bit on step 4 then straightens to take the next step; follows are basically a Back Lock or going into the Tipple Chasse to R.
Tango: Mini Five Step -- the steps appear to be basically the same as for a regular Five Step. Differences I see are that the Mini has no steps with CBM while the Five Step uses CBM on 1 and 4. The Mini starts facing DW and has no turn or up to 1/4 turn L (between 1 and 2 I think). The Five Step starts facing DC and says 3/4 turn L. To me, that looks like that's about it.
Hopefully that helps. If you have other questions, feel free to ask and I'll try to help some more if I can.
--
James Marshall
marshall@astro.umd.edu
http://www.astro.umd.edu/~marshall