There are basically no TVs which support 120hz on the input. If you are looking for a 120hz input, then you will need to turn to gaming manufacturers and TVs which have freesync or other gaming functions for such things.
TVs are locked in at 60hz/24hz pretty much across the board from what I've seen.
This also matters because 4K HDR programming hits 18Gb/s at 60hz, which is the max that HDMI 2.0 supports. If you are going to get into 120hz programming, you will need to wait another several years for HDMI 2.1 and the support of 48Gb/s signals which will open up 120hz 4K signals.
If you want a TV, don't make a list of demands. Make a list of desires and buy the best TV which fits your room and your budget. I would look at the top reviewed models across the board, and figure out which one really has the best looking image at different prices and see what works best for you overall.
Finding out what inputs a TV supports is also getting to be extremely difficult. The 65" LG OLED65C9PUA, their top of the line, does have nVidia G-Sync support, and has a 120hz screen rate, but it doesn't list the input resolutions/rates supported in any easy to find fashion. The screams to me that it is limited to 60hz max on the input.
The Sony 950, which is a great LED/LCD display, and one of the top on the market outside of OLED, also buries their input specifications... 60hz is the limit:
Use this manual if you encounter any problems, or have any questions about your device.
helpguide.sony.net
So, just go with what works, what fits your budget, and what matches the room you are in. I'm in a really bright family room, so I bought a bright 85" LCD display for my room to replace my plasma. The image is CLEARLY inferior to our previous display. But, the brightness it delivers actually makes up for the lost in black levels we can see. It's going to be a tradeoff. If you don't need the brightness, and are aware of potential burn-in from games, then OLED is the absolute best looking display on the market. If you want/need the brightness and want one of the best images, then the Sony 950 may be one of the best ways to go.
EDIT: If you absolutely demand an input which goes beyond 60hz, you will have to get a gaming monitor, and you will pay through your nose to get it. HP has a 65" that doesn't look as good as the Sony or the LG, but it is 144hz...
You can find it for a measly $2,800 online.