Well the CPU you buy isn't going to do "more intense stuff in the future" [sic]. Its performance is going to remain the same.
What you should be more focused on is the motherboard because that will determine what performance improvements you might enjoy in the future with component upgrades. You provide no budget for the motherboard so it is impossible to make a specific recommendation.
That said, you should really be focusing on motherboards based on AMD's B550 or X570 chipsets (the latter is more powerful) because A.) they support the latest Zen 3 CPUs, B.) they will shortly offer Smart Access Memory (a.k.a Resize BAR) for direct 5000-series CPU-to 6000-series GPU memory access, C.) they offer PCIe 4.0 for extremely fast m.2 NVMe drives.
A lot of the best boards are out of stock right now. The same with newer CPUs and GPUs since the scalpers instantly scoop up everything that shows up. The scalpers have made the DIY custom build PC market an incredibly frustrating and dreary place for the moment. My guess is that things will start to get back sometime in late Q1 2021 as supply approaches demand. Right now, trying to buy a quality recent CPU or GPU is futile.
As for the CPU, the major PC hardware review sites (AnandTech, Tom's Hardware, PCMag, TechRadar, a lot of the PC gaming sites) typically run "Best Gaming CPU" lists. Best to read those very carefully.
Before the recent release of AMD's Zen 3 processors, the Ryzen 3600 (6-core, 12-thread, overclockable, 65W TDP) was considered the best overall gaming CPU for value. Availability of this model is very difficult right now, it was the top selling CPU at Amazon. As least for gaming the more powerful CPUs primarily benefit esports extremists (who typically play at 1080p where CPU performance comes more into play since the GPU isn't the bottleneck).
I have the Ryzen 7 3700X (8-core, 16-thread, overclockable) which was the top 65W TDP CPU before Zen 3. For me, acoustics are a big deal, I didn't want a 95W or 105W TDP CPU since those would require more (and louder) cooling. When I purchased mine about five months ago, it was slightly discounted and also came with a free game (Assassin's Creed Valhalla). AMD's 65W CPUs also come included with a Wraith Prism cooler.
Your budget lists nothing about cooling and you indicate no personal preference as to acoustics.
My current micro-ATX build has a 240mm AIO cooler for the CPU and a 120mm AIO cooler for the GPU and a bunch of Noctua fans, a very generous budget for cooling but the machine is almost silent even when the GPU is overclocked (110% power) and maxxed out (99% load). Both the CPU and GPU will max out around 65 degrees Celsius in real-world usage (Handbrake encodes, gaming, etc.). It is the quietest PC I own, including a Windows ultrabook and my Mac mini 2018.
For what it's worth, I currently have two builds. The SFF case (an NZXT H1) has an ASUS ROG Strix B550-I Gaming motherboard (mini-ITX form factor). My micro-ATX mini-tower has an MSI MAG B550-M Mortar motherboard. The NZXT H1 is currently idle since it has no CPU (I will put the 3700X back into it when I get a Ryzen 5000-series CPU).
Anyhow, best of luck.