Searching feature in QGIS?

I am using Search Layers plugin for the searching all the features of all the layers of the of the project. It is working fine for me.

Yes, when you select a search result, it zooms to that particular feature.

(For QGIS 3.x, Locator bar at the bottom of the window)

As @fuzzysolutions mentioned, use f <search_term> to search for any attribute on the active layer.

Use af <search_term> to across all layers by Display Name (configurable under Layer Properties -> Display)

Search Layers plugin is still needed to search all layers by any attribute.

Reference: https://docs.qgis.org/testing/en/docs/user_manual/introduction/qgis_configuration.html#locator-settings

You have a search option in the attribute table , where you can search the features on the basis of their attribute fields.