One-way wireless LCD display with Arduino mini

I would think a large part of the driving factor will be data rate and data format.
How much data is involved, how fast does it need to be sent,
and what form is it in?
i.e. are we talking about something simple like low speed serial data or is it a live video feed?

For simple low speed data,
These guys also have several "duino" wireless boards /modules & sensors:

And then there always blue-tooth.

--- bill