Specifically, I'd like to hear about predictions that directly influence humans, such as weather, flooding, disease, etc.

This means that climate predictions are never of the form "in the year 2045 we will see x happening" - specific events like that are weather. What can be predicted is "The period from 2050-2080 is likely to be different to the period from 2020-2050 in the following ways...", looking at differences in statistical measures (such as averages) over long periods.

So you will never see climate science tell you what will happen in specific near-future years. However, it may be possible to predict what general characteristics are likely to be different in the next 10-20 years compared to recent history. The shorter the time period for which the prediction is given, the less certainty there will be in the effects. This doesn't quite answer your question, but hopefully helps to put other answers into context.

The end of the executive summary talks about near-term air quality, and the beginning talks about predictability. Specifically, it mentions that emissions of chemicals that produce aerosols -- atmospheric particles that interact with solar radiation -- have a wide range of uncertainty, even in the near term. Unlike CO2, aerosols can induce a significant climate response (or at least a change in radiation) over the span of weeks and months. A change in energy use or technology, like India and China adopting sulfur control policies, can thus affect climate quickly and dramatically. This is a source of a lot of the uncertainty in near-term projections; over the long-term, CO2 dominates.

I suggest you consider how people today are affected by extreme weather, because climate change may manifest today primarily by leading to more intense and frequent extreme weather events.

This recent paper in Nature Climate Change, Attribution of climate extreme events (2015) proposes that 'snowmaggedon' in February 2010, superstorm Sandy in October 2012 and supertyphoon Haiyan in November 2013, and, in more detail, the Boulder floods of September 2013, may have been influenced by high sea surface temperatures that had a discernible human component.

In the popular article "Study sees a ‘new normal’ for how climate change is affecting weather extremes", an author summarizes some of the major conclusion of that paper.

For example, although a moderate storm "Sandy" may have occurred regardless of the effects of global warming, computer modeling suggests it is likely that global warming augmented this storm up to a level great enough to flood the New York subway.