What ways are acceptable to ask about the times (clock)? I know two or three ways such as: "what is the time?" or "what time is it?" + "What time is it now?", "what is the time now?"
Shadow Paz said:
The most common way to ask is: What time is it?
I think that indeed the most common way I would ask a friend, coworker, or family member.
Simon Nicholls suggested:
Do you have the time?
Could I have the time?
I think those are the most common ways I would ask a stranger for the time:
Excuse me, do you happen to have the time?
Finally, you asked about:
What time is it now?
I would say your wording there is grammatical, but the now at the end is unnecessary, and that, overall, it would sound more natural and idiomatic if you omitted the word "now." When asking about the time, the default meaning is the current time, unless you somehow specify that you're asking about another time. For example:
What time does the play start tomorrow?
What time did you finally go to sleep last night?