I was writing to my japanese friends, and I got some doubts. Hope it wasn't
asked here before.

How can I express "what about ..." in Japanese? Particularly:

> What about having some breaks?  
>  What about doing it on Mondays and Tuesdays?  
>  What do you think about this sweater?  
>  What do you think if we go tomorrow?  
>  How about openning the windows?  
>  What if we move this chair to another place?  
>  ...

I was thinking of:

> どうですか。  
>  いかがですか。  
>  よろしいですか。

Is the following correct?

> 月曜日と火曜日するのはどうですか。
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usage expressions
how can I say "what about...?" in Japanese?
> どうですか。 いかがですか。 よろしいですか。

Yes, you answered your own question. (Each of these words have their own level
of politeness and you can mix some conditional in there with shitara,sureba)

Usually どう(ですか) works in most situations. It's simple and you can't be
mistaken when using it. "どう思う" (what do you think) and ”いい?” (ok?) Work as
well.

However I will propose another way to say that: The volitional form. I think
that's what some clever people would call it. See the examples below to see
what I mean:

What about we take a break?

> よし、休もうか？

What about doing it on Sunday?

> 日曜日にしようか？

What do you think if we go tomorrow?

> 明日に行こうか？

_use ましょう form instead for extra politeness (行きましょう...etc.)_
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This might be some dialectal issue, but I'm pretty sure what you mean in your
English examples above is " _How_ about", not "what about". The latter is a
neutral question ("what happened to..." etc.) whereas "how about" does imply
you are offering or suggesting something.

In case you are indeed trying to translate "how about", I think いかがですか,
いかがでしょうか etc. are exactly what you want.

It strikes the same balance between suggestion/offer and asking for opinion
(どうですか is very close, slightly less polite, and a bit more asking than
offering, imho).
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You really have several choices depending on the exact meaning of the
question. If the question is making a suggestion for the listener to respond
with an answer, then `～（よ）うか` ("Shall we ～?") as mentioned, or just `～は？` if
the action has already been established.

>   * 日曜日にしようか？
>   * う～ん、日曜日はムリ。
>   * ほんじゃぁ、月曜日は？
>

If you're trying to give advice/suggestion/weak command to the listener in the
form of a "How about doing ～?" question, then `～たら（どう（ですか））？` is what you
want.

>   * 母： 妹【いもうと】の誕生日だよ。ケーキでも買ったら？ → Mother: It's your little sister's
> birthday. How about buying her a cake or something?
>

But if you're just asking for the listener's opinion on something, like your
example "What do you think about this sweater?", `～（について）どう思う？`

>   * このセーター（について）、どう（思う）？
>
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