Noise reduction from neighboring properties - ideas?

Residential area

True, I was now referring more to the "City"

So I can still imagine that besides above-average sensitivity, it actually has to do with standing waves or room modes. It could be that the wavelength of the lower cutoff frequency (or a level maximum in the frequency response) of the radio is in an unfavorable ratio to the room dimensions of the affected rooms.
My suggestion would be as follows:
1. Talk to the neighbor and make it clear right away that you don’t see him as the problem, but clearly yourself, but ask if he would be willing to help you find a solution that does not or only minimally restricts him.
2. Have the radio set up in a different spot in the garden (change the distance to the affected rooms, strangely, being closer can also help). However, it may be that the problem then occurs in the other half of the house.
3. a) If no relief is possible this way, try placing something sound-absorbing against the house wall (mattress) temporarily.
3. b) If that helps (even just a little), then a soundproof fence or wall will probably help better in the medium term.
4. Use a sound level meter to determine the frequency that is excessively excited in the rooms and have a Helmholtz resonator built for these frequencies. These must then be set up in the rooms at suitable positions. Unfortunately, some experience is needed for this, which I do not have in detail either. I only know that room modes and standing waves often cause huge problems with the bass experience. An acoustician can help here (for a relatively large amount of money). Whether therapy is more efficient, I cannot say.

In any case, I wish you to get the problem under control. I know from my own experience how such a disturbance can even make you physically ill; in my case, however, the neighbor was definitely to blame.

The apps Spectroid and Spectrum View are quite good for that.

I appreciate having built with aircraft noise in mind and not just U-values. The result is that the house is soundproof, and the best part is that today at 3 pm Berlin-Tegel was closed, no more planes. Anyone building in the new development area should pay more attention to soundproofing, it annoys you longer than the last ten euros saved on heating costs.

In the city, it’s not quieter either. On the contrary. More people, more traffic = more noise.

The difference, in my opinion, is the bass. Murmuring voices or background noise from cars I find much more pleasant and not disturbing, unlike bass. I can’t explain it very well, but bass “thumps in the brain,” for me somehow like a heart beating too loudly and out of rhythm in the head. The thread starter found better words for it.

2. Just have the radio placed somewhere else in the garden (changing the distance to the affected rooms, strangely being closer can also help).

Is it possible to position a radio so that the bass "flows/radiates" in a desired direction, i.e., towards his house and not towards the thread starter's house? If one only had to turn the radio around or place it in front of one of his open doors or windows, that would be great. :)