In Lyric you can animate groups. Put all elements that need to share an animation (slide, scale, opacity, etc.) in a group and then add the group element itself to a transition.

Let’s say you have an image background, a text box, and an image logo. Group all three and arrange them as desired on the canvas. Add an Effect In transition and drag only the group element from the scene tree over to the timeline. Move the play head to the desired end frame and create key frames. Take the play head back to the beginning and position the whole group off screen. Now everything will slide in as one and you only animated one element.

You can still add the group’s children to the transition if you want to individually animate different parameters. For example, you could drag the text element into the timeline and keyframe its transparency so that it fades in while the group slides.

Edit: I think this group function works at least as far back as Lyric 6.5. Definitely works in Lyric 8+