Leliel
Leliel is definitely one of the more bizarre Angels that NERV find themselves pitted against.  Leliel is six hundred and eighty meters in diameter with a thickness of three nanometers within which is an inverted AT field, the sphere projected above Leliel is in fact the Angel's shadow.  More intriguing is the fact that within the Angel's AT field is an alternate dimension or another galaxy, describable purely by abstract mathematics, which makes up the Angel's body, and it is into this world that Leliel lures and traps its victims.  Leliel expands silently beneath its opponents pulling them into its body and is quite capable of trapping an Eva indefinitely in this way, indeed Leliel could quite easily engulf an entire city should the need arise thus making the Angel a formidable opponent.
Named after the angelic ruler of the night. This angel takes the form of a giant, hovering, zebra-striped sphere, which floats over Tokyo-3. No attack seems to touch it though. When Asuka and Shinji investigate, the sphere turns out to be the 3 dimensional shadow of a black two dimensional angel under the earth's surface. When the angel comes to the surface, Shinji and Unit-01 are swallowed up inside, where they remain on life support alone. When power for life support, is about to expire, NERV scientists are preparing for a desparation mission to retrieve Shinji and Unit-01, when suddenly Unit-01 battles forth (using some here-to-for hidden source of power) from the shadow-sphere floating over the city, destroying the angel in the process.