1. (Cooked) Rice
Ashkenazim: A G-d fearing Jew will only eat rice within a meal. If he has no bread - he should say Shehakol. (Kitzur Sh.A 52:17)
Sefardim say Borei minei Mezonot on cooked rice. (Ben Ish Hai: Pinchas 17 [First year])
2. (Diluted) Wine
Askkenazim would say Borei Pri Hagafen as long as there is more than 1 part wine to 6 parts water && people are accustomed to drink their wine diluted to that extent. (Kitzur SH.A. 49:3)
Sefardim would say Borei Pri Hagefen only if their is a majority wine over water, && the mixture tastes like wine. (See Kaf Chaim 204 S.K. 31,33)
3. Sweet Bread/Challah
Flour which is kneaded with oil/honey/milk/egg/fruit juice but the majority of the liquid is still water (even though you can taste [the sweetness of] the friut juice(say)):
Ashkenazim would hold that this is considered bread (and does not have the status of Pat Haba-ah B'Kisnin) - so you would say Hamotzie on it. (see Kitzur Sh.A. 48:2]
Sefardim hold that as long as you can taste the fruit juice a little - it's Mezonot.
(S.A 168:17)
[This, by the way was probably what @AdamMoshe was referring to in his answer]
NB: For all above I have used the Kitzur Shulchan Aruch with Piskei R. Mordechai Eliahu.