Strawberry Haagen Dazs: The favored flavor of anime murderers?
In Kite, it's merely a parody reference, with the "Häagen Kazs" name.

In Kite Liberator, it's also a parody, with the "Hëegen-Gezs" name (Vanilla flavor in this case). 

The ice cream is prominently stated to be Häagen-Dazs in both the Kara no Kyoukai movies and the original novel.

Shiki and her fridge can also be seen with several bottles of Volvic water.

These internationally well-known brands are probably so viewers could better identify with them (as they've probably had them in the past). 

The ice cream is most likely being used as a foil to the the main character, highlighting them to be naive, childish (small, like the containers), and cold at the same time. The water, too, might be a foil of how Shiki has changed (melted slightly), but still remains cold.