Wanting to start a Mini Gaming Computer Project

>>57681745
>What would be the essentials to put in it?
Well you need:
power supply
motherboard
processor
memory
hard drive or SSD
video card

Nice optional extras:
SSD for OS HDD for "stuff"
DVD drive if you want to watch or rip movies, maybe even blueray (don't know if your case supports 5.25" shit though.
Wireless card if you go somewhere and don't have a cable/plug in somewhere. Look for an A/B/G/N/AC capable one.
Aftermarket CPU cooler if you're planning on anything strenuous for the PC (gaming counts as strenuous)
A few fans in the supported sizes and connectors to improve airflow

Yeah that's about it, essentials is what you need to get a good gaming box but to make it "great" you can add some amenities that adds capability to your PC.

>I am a grown adult
That's not how your parents think about you.

>build for simplicity whenever I am on vacations with business and such or to hook up to a bigger TV
let me start off by pointing out that the Core V1 is actually bigger than most mATX cases.

>>57681745
Mini itx is a meme if you don't buy the Dan case.

>>57681745
If it needs to be portable get a laptop+eGPU, or just get a regular PC case and install castors at the bottom. That ITX machine will be heavier than you think.

Tips:
- "Gaming" or "gamer" parts are not worth it. The regular versions may lack some color schemes or LEDs, but are equal or better.
- If you're on a budget, go for an i3 or i5, not an i7 and spend the money on a GPU or SSD.
- If weight and noise are a concern go for SSDs instead of HDDs.
- Make sure you get a half- or fully modular PSU. Makes cable management easier and you will have less or no unused cables in there.