I've always gone with Fuchs Titan Race Pro-S 5w40 (ester-based fully synth, ex-Silkolene branded) for all my Hondas for getting on for 10 years - Opie Oils do it for I think £48 / 5 litres, so it works out +/-£40 when they've got a discount code on.
Heard a handful of horror stories about Mobil-1 0w in the EP3 community years ago (i.e. too thin), but that's as likely to have been people not checking their oil enough and letting it get low then looking for an excuse.
To be honest, it partly depends on how many miles you do between services and whether you take the car on-track or not. If low-miles and no track use, then pretty much any oil 'around' 5w40 will do, but if you do 10k+ between services or do trackdays / lots of hard driving, then you want a better* oil.
Edit: https://www.opieoils.co.uk//p-68897-...ngine-oil.aspx
* the more expensive oils, and especially the proper (ester-based) fully synths (as opposed to cracked-hydrocarbon based "synthetics" - Shell Helix I'm looking at you!) are far better at maintaining their properties after prolonged / hard use, whereas cheap oils break down a lot quicker.
"No man with a good car needs to be justified"
Blue '08 FD2 CTR - big, ITR-sized shoes to fill...
Yellow '96 NSX 3.0 - oh was it worth the wait!
Black '99 ITR - well, I had to have another one, the first was so much fun. Miss this one even more than #1...
Blue '03 S2000 - SOLD, flawed but fun
Blue '04 Focus TDCi Sport - SOLD, very good fun for a diesel!
Black '00 ITR - SOLD, still missed
Red '98 Civic VTi - SOLD, probably still bombproof