I think it's time for a vast menagerie of crossings.
1) The AARdvark crossing. When you hit the button it sings the aardvark song. Also useful on talk like a pirate day.
2) The Abalone crossing. It's under the water and quite endangered.
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https://en.wikipedia.org/wiki/Belisha_beacon
Pelican crossings have the button you must press to cross.
Zebra has striped road markings, with flashing yellow marker lights so that vehicle users have plenty of advance warning of the crossing. Pedestrians have right of way on these crossings at all times, other road users should slow until they can discern whether any pedestrians are trying to cross and if necessary stop.
Pelican is an older design, though still used in new crossings in London and some other places. The pedestrians controls are in a box at hand height but the signals are on the far side of the crossing. These trigger road signals in a pattern with an extra flashing amber phase meaning "road vehicles may cross only if there are no pedestrians using the crossing".
Puffin is a replacement for Pelican with two innovations. Firstly the pedestrian signals are with your controls on your side of the road and they're placed so that to face towards them you're also facing oncoming traffic (this will most often be the right side of the crossing since the British drive on the left, but not in every situation). Secondly there is no flashing amber phase, the Puffin has infrared detectors so it can discern whether pedestrians are still on the crossing and extend the red phase slightly if they are.
The Toucan and Pegasus mentioned elsewhere are variants of Puffin rather than Pelican.
Can any US people clarify?
But I'm basically only familiar with them from bloody reCaptchas, so I don't know!
For crosswalks not at an intersection (typically when there is several hundred feet of road without an intersection for crosswalks), I believe pedestrians always have the right of way. Sometimes they have a button you can push that will activate yellow lights overhead so drivers know that you're crossing (primarily useful at night). I think you have the right of way regardless, but given how little attention many people pay, I tend to treat them like I'm jaywalking anyways.
Traffic laws can vary by state, but in general pedestrians always have the right-of-way on a crosswalk (except when there's a traffic light).
Whether or not cars will actually stop for you is a different story.
on edit: changed here to hear.
We have pedestrian crossings, not cross walks.
Fire hydrants around here are inside the ground, or in a riser if inside a building.