The equalisers you are talking about from the 70s were analogue. Today the recommendation is a digital equaliser and can offer more functions and accuracy.
There are two types of EQ that are useful. A Parametric Equaliser (PEQ) which allows you to select three parameters: specific frequencies, the volume, and width (range of frequencies known as Q); e.g you could select 62Hz, increase it 4dB, with a Q of 1/3 octave. Each one of these is called a filter and a device may have a specific number of them (say ten) or, particularly with software, a large or infinite number of filters.
The other type is the Graphic Equaliser (GEQ). This allows you to adjust the frequencies over the whole range - 20Hz to 20kHz. Sometimes this will be only selected frequencies with a fixed Q; you just select the frequency and increase or decrease it. Other types might allow you to adjust the Q as well.
If you have specific issues, particularly in the lower frequencies, a PEQ is very useful. If you just want to adjust things a bit like a treble or bass control, a GEQ is good enough.
I use a Behringer GEQ2496 which has ten PEQ filters per channel and a GEQ, as well as other stuff I don't use. It is complicated to use though. I use it for my speaker system and it sits between the CD Transport and DAC so only works in digital. The Behringer does have its own DAC and ADC so can convert incoming analogue signals to digital, do its digital work, then convert the signal back to analogue for transfer to a pre amp or amp. It only comes with XLR connections.
Behringer also make a cheaper simpler analogue EQ which may work for you:
https://www.andertons.co.uk/guitar-...ringer-fbq800-ultra-compact-graphic-equalizer
I used this with a headphone system and it was OK. These days my source is a computer so I now use software EQ.
I'm talking Behringer because that's what I know but I'm sure there are other suitable products.
On bass response, I use HD800 headphones and some say they are a bit bass shy. I find they play bass very evenly so you can clearly hear all the bass but that mostly it depends on the recording.