As a supplement to Zarko's answer, to avoid collisions between the edges running from parent to child and the nodes themselves as the content of the nodes expands, you might consider using the edge from parent fork down style:

\documentclass[border=10pt,tikz]{standalone}
\usetikzlibrary{trees}
\begin{document}
\begin{tikzpicture}
[
sibling distance=10em,
level distance=2.5em,
every node/.style = {
shape=rectangle,
rounded corners,
draw,
align=center,
top color=white,
bottom color=blue!20,
anchor=north
},
edge from parent/.append style={thick},
edge from parent fork down,
]
\node {Manfred Kock}
child { node {Karsten Danzmann}
child { node {\underline{Guido Mueller} }
child { node [draw, align=left]{\underline{Marina Longnickel} \\blah} }
child { node {Aaron Spector} }
child { node {James Ira Thorpe} }
child { node {Alix Preston} }
}
child { node {Oliver Jennrich} }
child { node {Gerhard Heinzel} }
};
\end{tikzpicture}
\end{document}
If you are interested in a more concise tree-specification syntax, then you could also use forest which offers a great many possibilities for customisation. Here's an example:
Here's a straight 'translation' of your original tree:
\begin{forest}
for tree={
rounded corners,
draw,
align=center,
top color=white,
bottom color=blue!20,
anchor=north
}
[Manfred Kock
[Karsten Danzmann
[\underline{Guido Mueller}
[\underline{Marina Longnickel}\\blah, align=left]
[Aaron Spector]
[James Ira Thorpe]
[Alix Preston]
]
[Oliver Jennrich]
[Gerhard Heinzel]
]
]
\end{forest}
The second part of my answer here explains how to do the translation and briefly introduces the forest package, as the manual, while very thorough, can be a little overwhelming.

We can make this a lot fancier. Here's a version using an academic family tree style. This one implements code similar to the edge from parent fork down style. It also uses enumitem to demonstrate the use of various kinds of list within the tree, and a style wrapped node=<width> which is responsible for customising the width of a tabular array within the node. The align=<spec> key provided by forest can be simply left or center etc., but it can instead specify a tabular array. \hline can then replace \underline{} and the contents of the node can be automatically aligned left rather than the default centring and wrapped to the required width as part of the array specification. The array package is used so that a suitable column type can be created for this purpose. Although only one-column tabulars are used in this case, you could obviously specify multiple columns were that required.

\documentclass[border=10pt,tikz]{standalone}
\usepackage{forest,array,ragged2e}
\usetikzlibrary{shadows}
\usepackage[inline]{enumitem}
\newcolumntype{P}[1]{@{}>{\RaggedRight\arraybackslash}p{#1}@{}}
\newlist{treelist}{itemize}{1}
\setlist[treelist,1]{nosep,wide,label=\textbullet}
\newlist{treeitems}{itemize}{1}
\setlist[treeitems,1]{nosep,labelindent=0pt,leftmargin=*,label=\textbullet}
\newlist{treeinline}{enumerate*}{1}
\setlist[treeinline,1]{label=(\roman*)}
\forestset{
wrapped node/.style={
align={P{#1}},
},
academic family tree/.style={
for tree={
rounded corners,
draw,
align=center,
top color=white,
bottom color=blue!20,
anchor=north,
parent anchor=south,
edge={very thick, gray},
drop shadow,
edge path={
\noexpand\path [\forestoption{edge}] (!u.parent anchor) -- +(0,-5pt) -| (.child anchor)\forestoption{edge label};
},
if level=0{}{
if={isodd(n_children("!u"))}{
if={equal(n,int((n_children("!u")+1)/2))}{
calign with current
}{}
}{}
},
}
}
}
\begin{document}
\begin{forest}
academic family tree
[Manfred Kock
[Karsten Danzmann
[\underline{Guido Mueller}
[Marina Longnickel\\\hline
\begin{treelist}
\item blah blah blah blah rabbits rosemary raucous rhinoceros blabbity blah
\item blah
\item blah
\end{treelist},
wrapped node=29mm]
[Aaron Spector\\\hline
\begin{treeitems}
\item This is another style of list
\item with different indentation
\item \dots.
\end{treeitems},
wrapped node=22.5mm]
[James Ira Thorpe]
[Alix Preston]
]
[{Oliver Jennrich\\\hline
This is an inline, ordered list with
\begin{treeinline}
\item a
\item few
\item of
\item my
\item favourite
\item things
\end{treeinline},
},
wrapped node=24mm
]
[Gerhard Heinzel]
]
]
\end{forest}
\end{document}
\textbulletby hand. A bit later I will show some examples for this. – Zarko Sep 13 '15 at 19:16forestnot a 'pure TikZ solution' given that it is entirely implemented in TikZ (well PGF)? ;) Note that I already voted your answer up: I think it is good. But championing it on grounds of its purity makes me laugh. Why not just say yours is easier to understand as the approach is simpler and more straightforward? – cfr Sep 15 '15 at 17:28forest, so until now I avoid to use it. Actually, for my needs I rarely use such kind of images˛ Your answer on above question (almost) convince me, that it is time to look this package closer. You really mastered it. I vote it. – Zarko Sep 15 '15 at 17:35