The two alternatives you propose do not differ in the (obviously quite large) number of "functions" you want to offer from your API. However, the second seems to have many disadvantages because you are loosing any strong type checking, it will become much harder to document the functionality etc. (The only advantage I see is that you don't need to change your API if you add functionality. But at the disadvantage that users will not be able to figure out API changes like deleted functions until run-time.)
What is more related with this question is the Single Responsiblity Principle (http://en.wikipedia.org/wiki/Single_responsibility_principle). As you are talking about OOP, you should not expose your tens of functions within one class but split them among different classes, each with a single responsibility. Defining good "responsibilities" and roles requires some practice, but following some basic guidelines will help you to get started quickly. See Are there any rules for OOP? for a good starting point.
Reply to the question edit
I haven't used D-Bus, so this might be totally wrong. But from a quick look at the tutorial I read
Each object supports one or more interfaces. Think of an interface as
a named group of methods and signals, just as it is in GLib or Qt or
Java. Interfaces define the type of an object instance.
DBus identifies interfaces with a simple namespaced string, something
like org.freedesktop.Introspectable. Most bindings will map these
interface names directly to the appropriate programming language
construct, for example to Java interfaces or C++ pure virtual classes.
As far as I understand, D-Bus has the concept of differnt objects which provide interfaces consisting of several methods. This means (to me) that my answer above still applies. The "D-Bus native" way of specifying your API would mean to exhibit interfaces and I don't see any reason why good OOP design guidelines shouldn't be valid, here. As D-Bus seems to map these even to native language constructs, this is even more likely.
Of course, nobody keeps you from just building your own API description language in XML. However, things like are some kind of abuse of underlying techniques. You should have good reasons for doing such things.