As far as I know, there are no equivalent names used in Greek. We just say "everybody, anybody, whoever" depending on the situation.

Tom, Dick, and Harry
A phrase referring to randomly chosen people: “I asked you to keep my plans secret, but you’ve told them to every Tom, Dick, and Harry.”
http://www.bartleby.com/59/4/tomdickandha.html

Tom, Dick, and Harry
n. Informal
Anybody at all; a member of the public at large: It's not a smart idea to admit every Tom, Dick, and Harry to the party.
http://www.yourdictionary.com/ahd/t/t0257500.html

The Greek idiom means "all sorts of people".

Mitsi ke Katines

English term (edited): every Tom, Dick and Harry

Just another translation for "every Tom, Dick and Harry".

However, Neva, you should make your query more precise, not just for Greek but for any language. If you want to have the equivalent of an English phrase or idiom in other languages, put the English idiom in a sentence. Mr Nobody is different from a Mr somebody-or-other and from every Tom, Dick and Harry.
For this reason you will also get a variety of Greek translations, including the above, or e.g. ο πώς-τον-λένε, ο αποτέτοιος.
Do also define whether you want the Greek in Latin characters.

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Note added at 51 mins (2005-10-30 14:21:44 GMT)
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If you're making a collection of *names* that go into this sort of context, you won't do better than "koutsi Maria".
There are some Greeks that think that "sara kai mara" in the above phrase are names, but the etymology is different.
In other contexts, we might use "ο κάθε άσχετος" for "every nobody".

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Note added at 5 hrs 29 mins (2005-10-30 18:59:35 GMT)
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For the benefit of readers, let me add the phrase "τάτσι μίτσι κότσι" [tátsi mítsi kótsi], which usually appears in the combinations "είναι τάτσι μίτσι κότσι με κάποιον" or "τα έχουν κάνει τάτσι μίτσι κότσι", meaning they are in cahoots, they have some secret agreement. Nothing to do with the question asked, but the interesting thing here is that it is thought to come from the Albanian names for Tasos, Mitsos and Kotsos.

I interpet ‘inviting every Tom, Dick and Harry’ as inviting people without discernment, almost randomly, ‘everyone’ and ‘anyone’.

In which case, I opt for οποιοσδήποτε or Or η σάρα και η μάρα too

I didn’t know the expression « κουτσή Μαρία » How refreshingly un-PC ! (thought maybe I would feel differently if it were ‘koutsos Andreas’). How did this expression arise? Is it widely used?


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Note added at 1 hr 53 mins (2005-10-30 15:22:57 GMT)
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And why not κάθε καρυδιάς καρύδι as a colourful but non-offensive alternative !


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Note added at 4 hrs 0 min (2005-10-30 17:30:27 GMT)
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Thanks Nick for the clarifications !

Just for the record, I think the key concept for ‘every Tom, Dick and Harry’ is the lack of discernment. It does not necessarily convey a negative opinion on Tom, Dick or Harry .

In context (a hypothetical situation): if I were choosing people to invite to my wedding, and I told my fiancée that I wanted to invite 50 colleagues (ie not just those who are in the same office as me), she could answer, quite rightly, ‘You can’t invite every Tom Dick and Harry’. I wouldn’t take this badly but it would mean I would have to be more selective.

Hope this makes sense.


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Note added at 5 hrs 52 mins (2005-10-30 19:22:47 GMT)
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Oops what a wally I was. I didn’t realise that it had to be names of people. OK then calliope if it’s not negative then I agree with your suggestion!


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Note added at 5 hrs 56 mins (2005-10-30 19:26:47 GMT)
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And thank *you* in fact for the clarifications.