So, what camera gear and equipment do you need to shoot professional looking videos?

Basic list
Camera
The most important piece of equipment is camera. You need the camera that has the option of interchangeable lenses and also the ability to plug in an external microphone. Being able to shoot in slow motion is very useful but not essential.
Sony Alpha a7s II mark

I can highly recommend Sony Alpha a7s II mark. Great in low light. Shoots in 4k and slow motion.
Sony Alpha a6600
Another great and slightly cheaper is the Sony Alpha a6600, a slightly smaller camera but its small compact size comes in very useful for videography.
Canon EOS R7
For those of you that prefer Canon cameras than Canon EOS R7 is fantastic. Shoots in 4K, touch lcd with flip screen so perfect for vlogging and videos where you need.
These are what I would describe as really good entry level professional cameras.
Microphones
That's where lots of people get it wrong. They just use the internal microphone on their camera and their audio sounds terrible.
Boya BY-M1 3.5 mm lavalier condenser microphone.
Great cheap microphone for recording videos. It is wired directly into the camera.
Rode VideoMic Pro

Rode VideoMic GO II Ultracompact Analog/USB Camera-Mount Shotgun Microphone
So if you are not for a clip on microphone then I can highly recommend Rode VideoMic Pro directional on camera microphone with deadcat artificial fur windshield.
The microphone can be easily attached to the top of your camera and provides a really nice crisp sounding audio for your videos.
SD cards
So you are not going to be able to record anything without an sd card in your camera.
Sandisk Extreme pro 64 GB sdxc memory card up to 170 MB/s, class 10.
Lenses
Arguably the most important thing after your camera is the lenses. There are many different options out there.
So its important to chose the one that is best for you.
If you can afford one lens then I recommend getting with a large focal length.
TAMRON - 28-75mm F/2.8 Di III VXD G2 - Zoom lens for Full-frame Mirrorless Sony cameras
Sony SEL24105G FE 24-105 mm F4 G OSS Standard Zoom Lens is a great focal length if you can afford only one lens.

Sony SEL1018 E Mount - APS-C 10-18 mm F4.0 Wide Angle Zoom Lens
Sony FE 35mm F1.8 Large Aperture Prime Lens
Sony SEL50F18 E Mount - APS-C 50mm F1.8 Prime Lens
Tripod
Tripod comes in really useful. Super useful for talking head style videos or time lapses and can really help you get a nice smooth shot when you starting out.
Magnus VT-350 Video Tripod with Fluid Head
Manfrotto 190XPRO Aluminium 4 Section Tripod with Horizontal Column
Manfrotto Video Head with Flat Base and Fixed Lever.
Tripod with fluid head will help you make a smoother shot.
Gimbal
Gimbal will allow you to capture shots that near are impossible to capture handheld and give your footage a really unique look super smooth shots, perfect for all types of videos and are relatively easy to use
Zhiyun Weebill S 3-Axis Handheld Camera Gimbal Stabilizer for DSLR
DJI Osmo Mobile 2
There are a lot more equipment I could have talk about and added this list.
I really hope you find this post useful.