IF you want the premium stuff, it comes with a price tag. Stuff like Amsoil isn't cheap, but when you change it you'll find it's cleaner than many other synthetic oils at the same service interval.
Sorry, but if your oil isn't getting dirty it isn't doing its job, the oil is there to lubricate and cool the engine, but it is also there to mop up all the acid junk that petrol produces when it burns. The actual oil doesn't wear out, but the buffering additives (to neutralize the acids ) and viscosity modifiers do get used up. That is why they like you you take the old oil to recycling, they just clean it up, put in some more more additives and the oil is good as new.
The Jazz engines are not super-sport highly stressed engines, so save yourself some money and use Castrol Magnatec Ford A1 5W-30 fully synth, or Mobil Super 3000 FE 5W-30 fully synth - If you want to do your engine a real favour spend the difference on a bottle of Molyslip engine additive - those little super slippery plates of molybdenum disulphide will plate up the bearing surfaces with a film that is tougher that any oil yet made (that's why it is called an extreme pressure lubricant, and is widely used in industry), and are there when the oil has drained away (much better for cold starts). The grease in the CV joints on vehicles is molybdenum disulphide based, which means those bearings can take a proper hammering and not wear out.
If you want the Honda gearbox to be even slicker than it is now, put some Molyslip in the gearbox as well - you will quickly feel the benefit.
And before you ask I don't work for Molyslip - but I am an engineer.