sSomeone started talking to me

Today, I was waiting for a taxi.

SThen someone started talking to me,he said d. He asked, "Do you speak English?"

I said a, "A little."

The man said this money asked, "Is this your country's money?"

I said y, "Yes."

The man said , "I always go to China, Hong kKong,any and many other countries, so I always forget which money I can use."

sSomeone started talking to me

Verb is "started" not "stared"

Today, I was waiting taxi.

"Waiting" requires "for" if you mention why you're waiting

Someone started talking to me,he said d. He asked, "Do you speak English?"

"Said" is for statements, "asked" is for questions
Exact words that people say have quotation marks around them and there needs to be a comma before the quotes
Quotations start with a capital letter, unless the source starts with a capital letter

I said that I spoke a little.

Or "I said, "A little." but I wouldn't recommend that because it's such a small amount of words, so when you're quoting something but not directly you'd say "I said that ___" (here I put the blank as "I spoke a little" because after "that" the words need to form a full sentence)

The man saidasked, "Is this money is your country's money?"

Unless the man didn't omit the "is" as the first word, there should be an "is" there for the question to be grammatically correct
"Country's money" or "money of your country"

The man said , "I always go to China, Hong kong, any counties,ry, so I always forget which money I can use."

For "any [noun]" the noun is singular
"Which money can use" requires a subject, which could be "I" (in my correction) or you could make "money" the subject by writing "money can be used" (passive)

sSomeone started talking to me

Today, I was waiting for a taxi.

Someone started talking to me, he said dasked, "Do you speak English?"

(1) "said" is perfectly fine, but you can consider "asked" here, since the man is asking a question.
(2) The phrase "do you speak English?" is what we call direct speech, and should be used with quotation marks. If you don't want to use quotation marks (which would be indirect speech), you should write "...he asked if I spoke English."

I said a, "A little."

Alternatively: "I said that I spoke a little (English)." (indirect speech). When you write "I said a little", it doesn't come off as a response to the man, but rather just you stating (to the reader) that you spoke a little English.

The man saidasked, "Is this money is your country's money?

(1) Again, "said" is fine, but you can consider "asked".
(2) In a question, the "is" will typically move to the front.

The man said , "I always go to China, Hong kKong, anyd other countries, so I always forget which money I can use."