PKCS1 signing not recommended?
Well, you are as surprised as I believe most of us are...


AES-CTR and AES-CBC are "obsolete", whilst AES-CTR is used by AES-GCM. Okay, so maybe he recommends authenticated modes (which don't require making your own authentication). But those aren't obsolete, they are just harder to code properly...
DH and all variants of RSA are "obsolete". Only ECDSA and ECDH... There are many  asymmetric algorithms that showed up which are meant to replace RSA, but RSA isn't obsolete and will probably remain huge until quantum computers.
HKDF-CTR is "obsolete". Should we use PBKDF2 which is designed for passwords and not keys?
RSASSA-PKCS1-v1_5 is kind of a problematic choice. Many people still use it, but I believe moving to OAEP and PSS is better in long run. Of course this doesn't mean "obsolete", at most "unrecommended".


All in all, I think "obsolete" isn't correct word. More like: Algorithms that newbies shouldn't use because they aren't obvious what they do. Of course then we should throw in AES-KW and ECDH, because those both are rather not obvious. I think person who created this site wanted to give "best recommendations", but deprecating HKDF-CTR is questionable at least.

TL;DR: This isn't by any means correct, except for SHA-1.