Once you get the Major, Minor, and Dom7 shapes down, we can look at some further modifications to these chords!
First, looking at the E shape, we will cover the Major and Minor 7th Chords, and the Sus4. Why no Sus2? Simply because there's not a great way to play a sus2 chord built off the E Barre Shape.
Major 7th Chord
Minor 7th Chord
Suspended 4th Chord
Now, onto the A Shapes. This time we cover the Major and Minor 7ths, and both Sus2 and Sus4.
Major 7th Chord
Minor 7th Chord
Suspended 2nd Chord
Suspended 4th Chord
Now, you should know 6 versions of the E Root Barre Shape: Major, Minor, Dom7, Maj7, Min7, and Sus4.
And 7 of the A Root Barre Shape: Major, Minor, Dom7, Maj7, Min7, Sus2 and Sus4.
If you forget any of these, try using your understanding of intervals to rebuild them yourself without looking these up!
There's plenty of other chord shapes we can build, but these few shapes will cover you for the vast majority of songs and work as a base for build extended chords and other variants off of. Try it for yourself!