Just to clarify: Examples of kinematic systems would be Cartesian (which includes CoreXY), Delta, Scara, and Six-Axis. The quality of the system has less to do with the system and more to do with the implementation.
Furthermore, there are 2 main types of desktop/benchtop 3d printers that are commonly available: Fused Deposition Modelling (or fused filament fabrication depending on who you ask) and stereolithography; of which the latter, stereolithography, has better accuracy and quality.
In terms of FDM however, it can be easily argued that CoreXY cartesian printers offer the best quality and accuracy (both of which are subjective btw) than either delta or gantry designs (e.g. gantry would be the Prusa i3). The reason is that in order to get the CoreXY to work at all, the overall engineering and frame rigidity must be at a certain minimum. Once this minimum has been achieved, the quality of the prints typically meets or exceeds the quality/accuracy of even a well-tuned gantry printer; and you are going to see it in the cost of a CoreXY printer.