If you're watching your budget, consider those rivals or even the older Mini without the sharper display.
But if you're looking for a top-notch experience, you can't go wrong with the new Mini, even with the higher price tag.
Several leading apps come to Apple devices first, and they are more likely than Android apps to be adapted for tablet screens. With many Android apps, you simply get a blown-up version of the phone app. You'll appreciate using those apps on the new Mini's improved display.
In a sense, if price isn't an issue, the bigger question will be whether to pay $399 for the Mini or $499 for the Air, which has a 9.7-inch screen. Size is the main difference between the two models, whereas there were greater differences in display and speed last year. The new device has caught up to the point that it deserves to be called a Mini version of the full-size iPad.