There is an AES secure mode of operation that is almost on the level of ECB in terms of performance: OCB[1]. OpenSSL has support for it and all patents have expired.
The 'numbers' are in 1000s of bytes per second processed.
type 16 bytes 64 bytes 256 bytes 1024 bytes 8192 bytes 16384 bytes
AES-256-GCM 655193.56k 1747223.44k 3399072.36k 4490100.61k 5033129.30k 5108596.96k
AES-256-OCB 631357.15k 2268916.74k 4794610.30k 6492985.36k 7174274.14k 7301540.60k
AES-256-ECB 997960.96k 3972424.35k 8096120.70k 8105542.89k 8179659.94k 8188882.64k
[1] <https://en.wikipedia.org/wiki/OCB_mode>, <https://competitions.cr.yp.to/round3/ocbv11.pdf>