Any ILSAC GF-4 5W30 should do justice.
Unless your engine is leaking oil or burning oil through valve stem seals, otherwise, I would stay away from high mileage oil for the time being. I don't buy into the tune of "when any vehicle hits 120,000kms, they all have to go on a high mileage oil diet from that day onwards", citing my 2 properly managed (Mazda B6 and B3, respectively) engine with proper yet conservative OCI (yes, I used Q full syn after 1.5 yrs of Pennzwax on yellowbottle in 1993 for my B6, and been using Q full syn until I sold my car), all engine seals and valve stem seals shall stay healthy and pliable even if the engine has gotten past 200,000kms and beyond. Only the neglected engines and improperly designed (I call this "fundamentally flawed") engines will suffer from seal leak problems and HM oil may help to a certain degree.
If you've been using good quality regular (non syn) 5W30 with proper servicing (tuneups, PCV valve replacements, etc.) for all these time, granted that there is no seal leak anywhere else, just do an AutoRx and then stay on with whatever you use. Syn oil helps in some ways but given the fact that your vehicle is 11 yrs old and sometimes, haphazardly switching from non-syn to full syn may cause seal leaks, I just won't go through that route (you may try M1, PP, etc. and if one of them works for you, stay on with that one until you rid of your car).
good luck!
Q.
p.s. These Honda engines are very reliable to begin with, so long as you maintain it properly. It doesn't require any extra pampering other than conservative OCI (these Hondas are very easy on motor oil so it's not surprising that it can run an avg of 8000miles OCI and yet oil tests show very good reading). It doesn't require any "snake oil" or oil supplements, just good quality motor oil (API SL/SM and ILSAC GF-4).
