I went through this a year ago. I'll second all of the negatives others have posted. The Cricketts are cheaply made and have poor features. While the price is low, they STILL aren't worth the cost.
I mean, come on...the bolt doesn't even cock when you cycle the action, gotta pull the cocking knob back...they call it a safety feature which I find to be quite an insult. The main spring is exposed, too. Easy to get crap inside the bolt. Just a low quality rifle.
After much comparison shopping between the Henry Mini Bolt, Marlin's entry, and a couple of others, we went with the Savage Cub T. Awesome little gun! Solid workmanship, accurate, and even comes with the Accu-Trigger, which is nice.
For some reason a "safe" trigger for a beginner means "heavy, hard-to-pull" in a lot of folks' minds. No reason to hamper a new shooter's success by saddling them with a poor trigger. The Accu-Trigger is light and crisp.
Our cost was $170, on a Red Tag sale at Gander Mt. one day.
The sights are comparatively nice, too. Good aperture rear. Unfortunately, it is mounted too low for me to comfortably use. Yeah, that's right. I shoot the Cub more than my kids do!
I put a very inexpensive rimfire scope on it and it's my go-to gun for groundhogs in the yard. I can plink little 1.5" metal spinner targets at 75-100 yds easily.
I know these are supposed to be "beginners' rifles" but I can't justify buying a lousy gun. Hopefully my kids will teach THEIR kids with the Cub. I'll be proud to pass it along. Not so much the Crickett.
-Sam