After Effects does a lot on its own, but many editors add plugins for effects it cannot do as well. Several presets in the shop are built on these plugins, and won't work without them.
Start without any
The Starter Pack and the free Colour LUT use only built-in effects. If you are just starting out, begin there and buy plugins only once you know you need them.
The four plugins, and what uses them
Sapphire
A huge library of effects and transitions. The shakes in this shop use its S_Shake effect.
Used by: Shake Pack, Shake 01
Continuum
Image restoration, film grain and colour tools. Two of the grades use its Film Grain and Hue-Sat-Lightness effects.
Used by: Colour Grade Pack
Magic Bullet Looks
A full colour-grading tool inside After Effects. Three of the grades are built on it.
Used by: Colour Grade Pack, Grade 01
FilmConvert Nitrate
Film-stock emulation: real film colour and grain. Two of the grades use it.
Used by: Colour Grade Pack
Try before you buy
All four have free trials. Install a trial, try the matching preset on your own footage, and only buy the plugin if you will keep using it.