In what dialect is "recommend me a book" normal?

The word choice of "recommend" may be less common than other choices like "find me a book" or "show me a book," but I wouldn't call it particular to a dialect; the construction is normal to most if not all English dialects.

It's a standard English imperative, just like "buy me a beer" or "get out of my way".

But, yes, I start beginning to understand the problem: "recommendare" is a Latin word which means "to bring back" or "forward to someone". It originally meant military commands, but later was extended to physical objects.

So what you mean probably is, "can you recommend a book TO me", which would be perfectly right if we took the word in the Latin sense, but almost nobody uses it that way.

It's normal and not dialect, but it reminds me a little of those charming Pennsylvania Dutch constructions like

Throw the cow over the fence some hay.

OR

Throw papa down the stairs his hat.

Many people in Britain might express that idea in that way; others would say "Recommend a book for me". What is your knowledge of how that should be said in "Standard British English"?

I cannot answer for the USA, but certainly in British English it would be a foolish person who would say definitely that certain ways are or are not "standard".

Jpoeface indeed indicates that there are other words one could use instead of "recommend", but I agree with him that "recommend" is certainly one of the "standard" words to use in that sort of request. So I repeat the question: What makes you certain that the request as quoted is not in a "standard" form?

It's perfectly standard in informal English. It's an imperative sentence, the subject "you" absent but understood. The word "me" is an indirect object, and the word "book" is the direct object. Parallel structure is found in sentences like:

Bring your dad the newspaper.

Give my sister an apology.

Write me a love letter.

Sing the baby a lullaby.

Its fine, it's regular English. You can put the objects of the verb in different order as you please:

Recommend me a book

Recommend a book to me.

Give me a book.

Give a book to me.

Send her the letter.

Send the letter to her.

They are acceptable and all in common use.

It can be used in any dialect, though it is perhaps not the best grammar.

Any, It is a standard construction.

english of ghe elves... crafty but hard to pick up.