Every single character now has a standing 5-foot vertical leap.

From the UA:

With the Jump Action, you attempt to leap more than 5 feet (a jump of 5 feet or less is treated as Difficult Terrain).

"Jump" doesn't specify horizontal or vertical, and in fact the term is used to refer to both later on. Technically, all you need to do to is declare your intention to jump upward as high as you can.

When you take this Action, your Speed must be greater than 0, and you must make a DC 10 Strength Check (Acrobatics or Athletics). If you don’t Move at least 10 feet immediately before this Action, you have Disadvantage on the check.

So you can do a standing Jump, you just roll with disadvantage... which doesn't actually matter a whole lot, because:

On a failed check, you leap 5 feet horizontally or vertically.

If I have a 2-foot tall Goblin, I can jump more than twice my height without moving. Even more interesting:

On a successful check, the check’s total determines the distance in feet that you can clear horizontally, or half that total if you’re jumping vertically (round down).

If my 2-foot tall Goblin has a Strength of 3 and no proficiency, that's a -4 to an Athletics roll. On a nat 20, my emaciated Goblin has a 5% chance to jump four times his height with a running start, or a 0.25% chance of doing so while otherwise standing completely still.

My biggest takeway from it was that jumping is now an action instead of part of movement. Which means the barbarian who leaps a 10 foot chasm to attack the goblins has to wait until next turn to do so, maybe losing their rage. In play will people do that or will they just throw a javelin. I think the biggest unintended consequence will be people wont use it in combat anymore they will only use it at times where it being an action does not matter, out of combat.

Quote from MyDudeicus >>

My biggest takeway from it was that jumping is now an action instead of part of movement. Which means the barbarian who leaps a 10 foot chasm to attack the goblins has to wait until next turn to do so, maybe losing their rage. In play will people do that or will they just throw a javelin. I think the biggest unintended consequence will be people wont use it in combat anymore they will only use it at times where it being an action does not matter, out of combat.

 Yeah, I don't think Jump should have become an action for this reason.

Or that you can't use different types of speed in one move. Want to climb that wall 10ft to your left and you have climbing speed? Either accept that you're wasting speed and just use your walking speed, walk over over and use dash, or wait until your next turn. Blegh.

Quote from Linklite >>

Or that you can't use different types of speed in one move. Want to climb that wall 10ft to your left and you have climbing speed? Either accept that you're wasting speed and just use your walking speed, walk over over and use dash, or wait until your next turn. Blegh.

The Climb Speed specifically has a line about being able to use your Climb Speed in any situation where your Speed is usable, probably to avoid this exact problem. However, I agree with you that this is dumb, and I will always picture a character choosing to do this as Climbing across the ground in a weird, all fours gallop.

Ah right, I think I skipped the specific bit about climb speed and just saw the general description.

Hopefully aquatic races will gain the ability to use their swim speed in a similar manner.

Quote from Linklite >>

Or that you can't use different types of speed in one move. Want to climb that wall 10ft to your left and you have climbing speed? Either accept that you're wasting speed and just use your walking speed, walk over over and use dash, or wait until your next turn. Blegh.

Or climb horizontally.  Spider Climb is referenced as working on horizontal movement when the surface you're on is above you, and every DM is going to have you use your Climb Speed on surfaces that aren't perfectly perpendicular to gravity.  If you can climb an 89 degree slope, why can't you climb a 1 degree slope?

The new speed rules are less dumb than the current RAW (where order matters), but still big dumb and no-one anywhere is going to use them.  Does JC really not understand how people treat the speed rules in practice?

Charger feat should include an additional bolded action: "Jump Attack. You may take an Attack action immediately after a successful Jump action of 6 feet or greater."

Rogue can bonus action Dash. Monk might be able to bonus action Jump. Maybe others will have similar?

Quote from Mephista >>

Rogue can bonus action Dash. Monk might be able to bonus action Jump. Maybe others will have similar?

It should be built into the Dash action if they're going to write the speed rules to prevent mixing speeds: when you take the Dash action, you can pick a speed style and make an Athletics check; this generates movement via the check in lieu of relying on your movement speed(s):

• Jump:  Roll with disadvantage if you didn't get a run-up; generated movement can be spent as if flying, but moving up costs double.
• Climb:  You don't need a run-up.  Generated movement works like walking on any slope up to 90 degrees, but you need an open hand to do it, and if you only have 1 open hand, movement costs double.
  • Open hand means a limb you can legally grapple with.
• Swim: You don't need a run-up.  Movement works like flying in a liquid roughly as dense as water; twice as dense (packed mud, quicksand) means movement down costs double and it's difficult terrain (so if you don't ignore DT it's 3x down, 2x otherwise); 3x as dense (lava) means you face double-and-difficult going in a direction which isn't down and you can't go down (you'd need to Burrow).

That sounds even more complicated than what they have in the UA

The new movement rules are incredibly out of touch in the context of this UA. If we already had new content that made it clear they want to make movement abilities more impactful, I get it, but making everyone who doesn't have those abilities look unreasonably clunky and dumb isn't the way to do it.

A warrior that is a good swimmer is perfectly capable of diving into water in one fluid motion without having to stop and make sure he's ready to adopt perfect olympian form.
A spellcaster using flight magic or a winged race can reasonably be expected to know how to curve their trajectory so that landing and continuing at their usual pace isn't an obstacle requiring time and effort.
A practiced acrobat doesn't need to take a moment to recall her master's lessons on wall running.
The charging gorilla doesn't need to hesitate at the gap to crouch before leaping across, it just jumps and keeps going from that momentum as it barrels into the party, swinging it's huge fists.

If movement abilities need to have more impact, don't cripple everyone, just add some situational effects to them. If you're afraid of power creep, make them very situational.

Personaly i dumbed it down to the extreme

You can jump without a start, up to half your movement speed with a Acrobatic/Athletism check

You can jump up to your movement speed if you move at least 10" without the need of a check.

If there's an obstacle high enough to hinder your jump, then you make a check.

Simple, done and no faffin around...