if u hv to translate it into English, guess it would be:

大圍三姑三圍大
LITERALLY:
大圍:plumy,plus-size(woman),”围”means a closed circle or circumference
三姑：means ur third oldest aunt, or “meddling women”
三围:means women’s size, bust/waist/hips
plumy/plus-size woman
PINYIN:
da4 wei2 san1 gu1 san1 wei2 da4
INTERPRETATION:
“plumpy auntie has big breasts”
or
“aunt from Dawei(大围could be a place)is plumpy”

昆明擺檔擺明昆
LITERALLY:
昆明：capital of Yunnan province
摆档：a booth or a very small store
the 2nd摆：verb.,means set up (a booth), or lay out(goods)
明昆：guess it’s somewhere coincidently called Mingkun.
PINYIN:
kun1 ming2 bai3 dang4 bai3 ming2 kun1
INTERPRETATION:
“Kunming booth be set up in Mingkun”

大院高曾高院大
LITERALLY:
大院：means bid courtyard
高曾(actually”僧”, means monk)：means a senior monk, or hierarch. here”高” means senior or high class

intead of “height/tall”.
the 2nd高：means the high or tall (height of the fences/walls/trees/moutains etc. or humen body)
PINYIN:
da4 yuan4 gao1 seng1 yuan4 gao1 da4
曾pronounces as ceng2
INTERPRETATION:
“that hierarch live in the courtyard, his yard has tall fences and is big”.

by the way,
扁担长，板凳宽。
板凳没有扁担长，
扁担没有板凳宽。
扁担要绑在板凳上，
板凳偏不让扁担绑在板凳上。
these are tongue twisters, not palindromes.

Could we have an approximate or literal English translation?

da1 yuan 4 gao1 seng1 gao1 yuan4 da1,,

http://zh.wikipedia.org/w/index.php?title=回文

山冻落花生花落东山。
Shāndōng luò huā shēng huā luò dōngshān.
In Shandong (province) the luohuasheng (kind of peanut) flower falls on the eastern mountain.

Could you give us the translations (and pinyin) for those? They look interesting but I’m afraid I can’t decode them.

大圍三姑三圍大。

昆明擺檔擺明昆。

大院高曾高院大。

扁担长，板凳宽。
板凳没有扁担长，
扁担没有板凳宽。
扁担要绑在板凳上，
板凳偏不让扁担绑在板凳上。

S.H.E. has even a song for it.