I suggest you the MSWEP (http://www.gloh2o.org/). The dataset takes advantage of a wide range of world wide data sources, including gauges, satellites, and atmospheric reanalysis models, to obtain the best possible precipitation estimates at global scale.

In an article by Beck et al (2017) it is validated against the main other global datasets available

 For the Himalayan region of Asia and other portion of Asia, APHRODITE has always yielded better results for me.

WE compared several products and evaluated them for different purposes. Our work is in a semi-arid country in West-Africa, but the conclusions can probably extrapolated to other areas.

Article Evaluation and comparison of satellite-based rainfall produc...