Looks like most people hit all the points I was going to hit, so I'll try and be brief. It's a good start, but I would just make some tweaks on SSD, memory, and power supply. It doesn't save a lot, but the quality improvements are there (starting with your list):
PCPartPicker Part List
CPU: AMD Ryzen 5 7600X 4.7 GHz 6-Core Processor (£190.54 @ Amazon UK)
CPU Cooler: Thermalright Peerless Assassin 120 SE 66.17 CFM CPU Cooler (£35.00 @ Computer Orbit)
Motherboard: ASRock B650M Pro RS WiFi Micro ATX AM5 Motherboard (£142.03 @ NeoComputers)
Memory: TEAMGROUP T-Create Expert 32 GB (2 x 16 GB) DDR5-6000 CL30 Memory (£97.79 @ Amazon UK)
Storage: Western Digital Black SN770 1 TB M.2-2280 PCIe 4.0 X4 NVME Solid State Drive (£62.99 @ Amazon UK)
Video Card: Asus DUAL EVO OC GeForce RTX 4070 SUPER 12 GB Video Card (£559.99 @ CCL Computers)
Power Supply: SeaSonic FOCUS GX-750 ATX 3.0 750 W 80+ Gold Certified Fully Modular ATX Power Supply (£95.27 @ Amazon UK)
Total: £1183.61
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2024-07-11 20:03 BST+0100
It's missing the optical drive. I haven't looked at those in years, so you can probably stick with what you have or check out ebay/local listings to see if someone has one they're not using anymore for a few bucks.
As others also suggested, I went with CL30 memory. It's cheaper than what you had, but it sacrifices RGB for speed. The SSD reviews really well and is cheaper. The power supply is a newer model that is ATX 3.0 compliant and has good reviews. Going with cheaper motherboards will come with sacrifices (fewer PCIe slots, less robust heat-sinks on the VRM, less m.2 slots, no wi-fi, etc.). If you're willing to go without wi-fi, you could save a little going with the non-wifi model (~129 vs ~142)...up to you if that's needed. Basically, everywhere else you try to trim, you're giving up noticeable performance or quality of life features.