I'd say go for the 5800x/12700 (non-k) if it's not too much more. The 2 extra cores will give you some wiggle room for any future AAA game you might be interested in. Also, it makes the overall computer and gaming experience much nicer.
An SSD with a dram cache would be better for a boot drive. SN550 is a nice drive, but having a little bit nicer one for bit more would make the computer much snappier.
I'd also drop the HDD and just get 1 TB SSD. You can always add more storage later.
Example AMD Build:
PCPartPicker Part List
CPU: AMD Ryzen 7 5800X 3.8 GHz 8-Core Processor (€374.83 @ Amazon Deutschland)
CPU Cooler: Scythe Mugen 5 Rev. B 51.17 CFM CPU Cooler (€53.85 @ Computeruniverse)
Motherboard: MSI B550-A PRO ATX AM4 Motherboard (€108.99 @ Amazon Deutschland)
Memory: Corsair Vengeance LPX 16 GB (2 x 8 GB) DDR4-3600 CL18 Memory (€74.98 @ Amazon Deutschland)
Storage: Crucial P5 1 TB M.2-2280 NVME Solid State Drive (€99.00 @ Amazon Deutschland)
Video Card: NVIDIA GeForce RTX 3060 Ti 8 GB Founders Edition Video Card (Purchased For €419.00)
Case: Phanteks Eclipse P300A Mesh ATX Mid Tower Case (€70.85 @ Computeruniverse)
Power Supply: ADATA XPG CORE Reactor 650 W 80+ Gold Certified Fully Modular ATX Power Supply (€118.41 @ Amazon Deutschland)
Total: €1319.91
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2022-01-19 17:30 CET+0100
Intel Option:
PCPartPicker Part List
CPU: Intel Core i7-12700 2.1 GHz 12-Core Processor (€368.44 @ Caseking)
CPU Cooler: Scythe Mugen 5 Rev. B 51.17 CFM CPU Cooler (€53.85 @ Computeruniverse)
Motherboard: MSI PRO Z690-A DDR4 ATX LGA1700 Motherboard (€196.40 @ Amazon Deutschland)
Memory: Corsair Vengeance LPX 16 GB (2 x 8 GB) DDR4-3600 CL18 Memory (€74.98 @ Amazon Deutschland)
Storage: Crucial P5 1 TB M.2-2280 NVME Solid State Drive (€99.00 @ Amazon Deutschland)
Video Card: NVIDIA GeForce RTX 3060 Ti 8 GB Founders Edition Video Card (Purchased For €419.00)
Case: Phanteks Eclipse P300A Mesh ATX Mid Tower Case (€70.85 @ Computeruniverse)
Power Supply: ADATA XPG CORE Reactor 650 W 80+ Gold Certified Fully Modular ATX Power Supply (€118.41 @ Amazon Deutschland)
Total: €1400.93
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2022-01-19 17:31 CET+0100
Or to keep everything in budget consider 10th gen intel:
PCPartPicker Part List
CPU: Intel Core i7-10700F 2.9 GHz 8-Core Processor (€269.00 @ Amazon Deutschland)
CPU Cooler: Scythe Mugen 5 Rev. B 51.17 CFM CPU Cooler (€53.85 @ Computeruniverse)
Motherboard: MSI MAG B460 TOMAHAWK ATX LGA1200 Motherboard (€137.52 @ Mindfactory)
Memory: Corsair Vengeance LPX 16 GB (2 x 8 GB) DDR4-3600 CL18 Memory (€74.98 @ Amazon Deutschland)
Storage: Crucial P5 1 TB M.2-2280 NVME Solid State Drive (€99.00 @ Amazon Deutschland)
Video Card: NVIDIA GeForce RTX 3060 Ti 8 GB Founders Edition Video Card (Purchased For €419.00)
Case: Phanteks Eclipse P300A Mesh ATX Mid Tower Case (€70.85 @ Computeruniverse)
Power Supply: ADATA XPG CORE Reactor 650 W 80+ Gold Certified Fully Modular ATX Power Supply (€118.41 @ Amazon Deutschland)
Total: €1242.61
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2022-01-19 17:38 CET+0100
looks good. Make sure when you buy the CPU that is says that the cooler is included (box version not tray).
The Mainboard will likely have an older version of BIOS installed that won't support a Ryzen 5000 cpu.
That is no issue because you can Update the BIOS without the CPU Installed using This guide from the mainboards manual