The best replacement for anxious is eager.

The best alternatives to anxious are rated as following:
★★★★★  eager
★★★  nervous
★★  concerned
★★  depressed
★★  excited
★  worried
★  avoidant
  apprehensive
  paranoid

Your alternative for anxious is not listed? Suggest!
Speaking about anxious, one probably shouldn't forget about anxiety.

Other search terms related to anxious and their ratings are:
★★★★★ anxiety
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Google Trends

Scale is based on the average worldwide traffic of anxious in all years. Click on graph for more.
anxious
eager
nervous