Far from Mr. Rewrite's blissfully happy workplace, a college administrator facing a flap sent a widely distributed e-mail telling students and colleagues, in part, "I am anxious to more fully discuss this matter with you ..."
Unless the administrator wants to convey apprehension, Mr. Rewrite suggests eager as the appropriate word. Anxious generally means "uneasy." Eager always conveys enthusiasm.
Mr. Rewrite looks anxiously at dictionaries and usage guides that allow anxious to convey enthusiasm (it's usually included as some bastard variant at the end of the definition list). He's eager for you to understand that careful writers distinguish between these words.