I posted does something more than just summing, it provides a shelving high pass to L/R and shelving low pass to C
Yeah, you can find op-amp filter circuits online. The classic
Active Filer Cookbook is available online. But you might want to experiment with equalizers before building hardware. It could be VERY time consuming experimenting with different filter designs and it's more difficult to A/B different filters than moving a knob on an equalizer.
If I wanted to do this, I'd probably just use an equalizer, and another equalizer if you want to EQ all 3 channels.
And different recordings have different amounts and different "styles" of stereo panning so you'll get different results with different recordings.
and I think that makes a lot of difference to get a center channel and yet maintain the imaging of mains.
You can filter-out the highs or lows, etc. But if there's a guitar on the left it will still go to the center, just with different-altered tone.
It WILL alter the stereo image and you may like it or not. You aren't listening "as intended", but the important thing is that you enjoy it!
I am not looking for multichannel solution,
Well... It's not regular 2-channel stereo or true 3-channel either.

(I've never heard of a commercial 3-channel recording but I know it's been done experimentally with good results.) Once multi-channel started becoming practical for home, use we got surround sound instead of just 3-channels... Actually there was quad (4-channel stereo in the 1970s
before it was practical!
Of course, multi-channel recordings include a true-discrete center. And if you have a surround recording you can down-mix to 3-channels with an AVR.
What you are doing is an
effect. Intentionally altering the sound like with EQ* or reverb, or up-mixing /down/mixing with an AVR.
5.1 processors are overkill, they generate surround channels which I dont need,
OK. But you you don't have to use all 5 (or more) channels, and it's easy to play with different settings on an AVR. Personally, with regular stereo music I like to use a "hall" or "theater" setting on my AVR for some delayed reverb in the rear and the "feel" of a larger space. This is hi-fi heresy since I'm not listening accurately as intended.
Same with the sub channel which I dont need.
With stereo you don't need a sub as long as you have full-range speakers that can reproduce bass.
But with surround you lose the "point one" LFE channel without a separate sub. The LFE isn't normally included in the down-mix so you only get the "regular bass".
* EQ can also be corrective to correct for "imperfect" speakers or rooms, or bad recordings.
P.S.
You might look into the
miniDSP. I don't have one but it can do all kinds of filtering, EQ, delay, and I assume it can do summing and subtraction and other fun stuff.