documentclass{article}
usepackage{tikz,pgfplots}
usepgfplotslibrary{dateplot}
begin{document}
begin{tikzpicture}
   begin{axis}[compat=1.5.1,
        date coordinates in=x,
        xticklabel={hour:minute},
        xticklabel style= {rotate=45,anchor=north east},
        xtick={
            {2010-06-22 9:00},
            {2010-06-22 12:00},
            {2010-06-22 15:00},
            {2010-06-22 18:00},
            {2010-06-22 21:00},
            {2010-06-23 00:00},
            {2010-06-23 03:00},
            {2010-06-23 06:00},
            {2010-06-23 09:00}
        },
        date ZERO=2010-06-22,
        xlabel=Date and time,
        xlabel shift=20pt,
        ylabel=Random stuff,
        xmin={2010-06-22 9:00},
        xmax ={2010-06-23 07:25},
        minor x tick num = 2,
        clip=false
        ]
        addplot coordinates {
            (2010-06-22 09:06:03,0.1)
            (2010-06-22 16:14:07,0.8)
            (2010-06-23 07:00:25,1)
        };
        node[anchor=north] at (xticklabel cs:0.1) {22.06.2010};
        node[anchor=north] at (xticklabel cs:0.75) {22.06.2010};
    end{axis}
end{tikzpicture}
end{document}

xlabel shift=10pt,
    extra x ticks={2010-06-22 9:00,2010-06-23},
    extra x tick style={
        xticklabel=day.month.year,
        every x tick label/.style={anchor=north west,yshift=-35pt},
    },