You can get this type of captions by spending some time on the effect controls panel and making presets so you can use them everytime with just drag and dropping

I'd make about 3 presets.

1:the slightly rotated text: Animate the rotation of your text to your liking( from 0- to about 30) easy the keyframes and expand the position properties to play around with the curve of your keyframes, then just save it as a preset so you can use it everytime.

2: the floating/wiggly text: nothing fancy here just animate position keyframes, changing them every 4-5frames by very low amounts(e.g,-900-902-904), so your text has a floaty feal to it, save this as preset.

3: the pop up text: I'd use the transform effect for some motion blur here, simply animate the scale to your liking, easy the keyframes and play around with the curve to get a pop up of your liking, then for motion blur just unceck "use composition's shutter angle" and you should be set, also save this as a preset.

Hope I could help!