Do these have active noise cancellation?

No. The noise cancelling is passive, meaning the sealed in-ear fit blocks sound. There is no battery, microphone-based cancellation or on/off switch for noise cancelling.

Will they work with a phone that has no headphone jack?

Only with an adapter. They end in a standard wired plug, so phones without a headphone jack need a dongle or a USB-C or Lightning adapter.

Can I take calls with them?

Yes. The inline microphone and remote let you answer calls and control playback on compatible phones and laptops.

How do they compare with Bose's wireless noise cancelling earbuds?

The wireless models add active noise cancellation, app controls and no cable, but they need charging. These wired earbuds are simpler and always ready, with isolation only from the fit.

What comes in the box?

Typically the earbuds with the inline remote and microphone, plus a selection of silicone eartips in different sizes. Check the listing for the exact included accessories.