At home I have FLUKE 8846A, and Agilent 34410A (which uses Digital sampling for AC just as 34465A), and at work Keysight 34465A.
For ACV/ACA the 34410A and 34465A are superior to 8846A due to the Digital sampling rather than using analog conversation with RMS to DC IC.
I believe DMM6500 also uses RMS to DC converter IC. But for DC, I prefer 8846A, it is ultra stable (machine full of really expensive hermetic resistor networks, and I read somewhere on this forum the LM399 reference is extra well selected and monitored during the burn-in period not weeks or months but years, true or not I do not know but I would not be surprised), during the 6 years I have had mine, I think it has drifted like 1 or 2ppm on 10VDC. But my favorite is after all 34465A, it has excellent AC performance, the GUI with histograms, trend chart etc is really great! Have not had a single problem with the 34465A since we bought it over a year ago.