There are two databases: Ecoinvent and Idemat. Ecoinvent contains over 8000 LCIs. Idemat has over 1500 LCIs. See tab data.
It is strongly advised to look first in the Idemat list. When something is not available there, look in Ecoinvent. Idemat is strong in the field of wood, alloys, plastics, and transport. Ecoinvent is strong in the field of chemicals and electricity mixes in countries.
You will experience that the actual calculation of a Fast Track LCA is a matter of minutes, so you might consider to make your LCA in all the more than 1 indicator, and find out whether or not your conclusion is influenced by the choice of the indicator system.
The different indicators are totally different in character. Therefore it is not possible to conclude that one system is better than the other (it is a matter of taste).
Figure 5.1b. The 4 sequential steps in LCA