How to set up OpenOffice as a Windows Servide?

A service has to be programmed as such. If you want to run a regular program as service, you need a wrapper that emulates the service itself and starts/closes the respective program.
SrvAny.exe from the W2k3 Resource Kit is such a wrapper; you can use it in conjunciton with InstSrv.exe to run basically any exe as service.
Check the ResKt documentation for details:
Windows Server 2003 Resource Kit Tools
http://www.microsoft.com/downloads/details.aspx?familyid=9d467a69-57ff-4ae7-96ee-b18c4790cffd&displaylang=en

That behavious was know by myself. The issue is processing as the microsoft tip explains and after to have it installed the service is not working, but if you run openoffice as a standalone application, it is.
That I am looking for is how to install it avoiding those kinds of problems.
My behavior when trying to run OpenOffice as a service is the system is not able of start it up on a timely fashion.

Not every program will be capable of running as a srvany-wrapped service. OpenOffice surely wasn't programmed with the intention of having it running as a service. A dialog box opening up (without you being able to see it) or anything else requiring user input may prevent it from working.
You can try to run this srvany instance with a dedicated user account instead of Local System, and/or you can try to run it as a scheduled task during bootup.

There are tips in internet saying that OpenOffice can be installed as a service. So, that is not the case.
I just ask for the solutions fixing the problem that I reported