 If you liked
Tengen Toppa Gurren Lagann
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 ...then you might like
Kidou Senshi Gundam AGE
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There's the obvious "beautifully illustrated space mech fighting against an initially vague enemy" factor, but I find them to also be similar in spirit. Gundam AGE's AGE System that learns from the Gundams' battles is similar in spirit to Gurren Lagann's Spiral Energy; just as Spiral Energy reflects how humanity keeps going and is evolving day by day, the AGE system is a weapon system that evolves right alongside its pilots.