Visual Editor: Paragraph styles appear to one admin but not to others

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  1. First of all Check If you disabled the visual editor from your profile page.

[See the Screen Shot]
Here is the ScreenShot of Edit Profile Page

You ned to uncheck the box – Visual Editor, the option is located in User’s Edit Profile Page.

UPDATE – 1

2 – You might have been disabled the Kitchen Sink, To enable it Click on small button available in visual editor (Right most button) icon or Press – ALT+SHIFT+Z
enable kitchen Sink

3 – Or try switching back to default WordPress theme (TwentyTen or Twenty Eleven) and check if problem persists.