According to https://howsmyssl.com, these are the cipher suites the Wii U supports.

Cipher Suite	supports PFS?	Notes
TLS_DHE_RSA_WITH_AES_256_GCM_SHA384	Yes
TLS_DHE_RSA_WITH_AES_256_CBC_SHA256	Yes
TLS_DHE_RSA_WITH_AES_256_CBC_SHA	Yes
TLS_RSA_WITH_AES_256_GCM_SHA384	No
TLS_RSA_WITH_AES_256_CBC_SHA256	No
TLS_RSA_WITH_AES_256_CBC_SHA	No
TLS_DHE_RSA_WITH_AES_128_GCM_SHA256	Yes
TLS_DHE_RSA_WITH_AES_128_CBC_SHA256	Yes
TLS_DHE_RSA_WITH_AES_128_CBC_SHA	Yes
TLS_RSA_WITH_AES_128_GCM_SHA256	No
TLS_RSA_WITH_AES_128_CBC_SHA256	No
TLS_RSA_WITH_AES_128_CBC_SHA	No
TLS_DHE_RSA_WITH_3DES_EDE_CBC_SHA	Yes	uses 3DES which is vulnerable to the Sweet32 attack but was not configured as a fallback in the ciphersuite order
TLS_RSA_WITH_3DES_EDE_CBC_SHA	No	uses 3DES which is vulnerable to the Sweet32 attack but was not configured as a fallback in the ciphersuite order
TLS_RSA_WITH_RC4_128_SHA	No	uses RC4 which has insecure biases in its output
TLS_RSA_WITH_RC4_128_MD5	No	uses RC4 which has insecure biases in its output
TLS_EMPTY_RENEGOTIATION_INFO_SCSV	No