BIPs that are implemented by Bitcoin Core (up-to-date up to v0.13.0):
BIP 9: The changes allowing multiple soft-forks to be deployed in parallel have been implemented since v0.12.1 (PR #7575)
BIP 11: Multisig outputs are standard since v0.6.0 (PR #669).
BIP 13: The address format for P2SH addresses has been implemented since v0.6.0 (PR #669).
BIP 14: The subversion string is being used as User Agent since v0.6.0 (PR #669).
BIP 16: The pay-to-script-hash evaluation rules have been implemented since v0.6.0, and took effect on April 1st 2012 (PR #748).
BIP 21: The URI format for Bitcoin payments has been implemented since v0.6.0 (PR #176).
BIP 22: The ‘getblocktemplate’ (GBT) RPC protocol for mining has been implemented since v0.7.0 (PR #936).
BIP 23: Some extensions to GBT have been implemented since v0.10.0rc1, including longpolling and block proposals (PR #1816).
BIP 30: The evaluation rules to forbid creating new transactions with the same txid as previous not-fully-spent transactions were implemented since v0.6.0, and the rule took effect on March 15th 2012 (PR #915).
BIP 31: The ‘pong’ protocol message (and the protocol version bump to 60001) has been implemented since v0.6.1 (PR #1081).
BIP 32: Hierarchical Deterministic Wallets has been implemented since v0.13.0 (PR #8035).
BIP 34: The rule that requires blocks to contain their height (number) in the coinbase input, and the introduction of version 2 blocks has been implemented since v0.7.0. The rule took effect for version 2 blocks as of block 224413 (March 5th 2013), and version 1 blocks are no longer allowed since block 227931 (March 25th 2013) (PR #1526).
BIP 35: The ‘mempool’ protocol message (and the protocol version bump to 60002) has been implemented since v0.7.0 (PR #1641).
BIP 37: The bloom filtering for transaction relaying, partial merkle trees for blocks, and the protocol version bump to 70001 (enabling low-bandwidth SPV clients) has been implemented since v0.8.0 (PR #1795).
BIP 42: The bug that would have caused the subsidy schedule to resume after block
13440000was fixed in v0.9.2 (PR #3842).
BIP 61: The ‘reject’ protocol message (and the protocol version bump to 70002) was added in v0.9.0 (PR #3185).
BIP 65: The CHECKLOCKTIMEVERIFY softfork was merged in v0.12.0 (PR #6351), and backported to v0.11.2 and v0.10.4. Mempool-only CLTV was added in PR #6124.
BIP 66: The strict DER rules and associated version 3 blocks have been implemented since v0.10.0 (PR #5713).
BIP 68: Sequence locks have been implemented as of v0.12.1 (PR #7184), and have been activated since block 419328.
72: Payment Protocol support has been available in Bitcoin Core GUI since v0.9.0 (PR #5216).
NODE_BLOOMservice bit added, and enforced for all peer versions as of v0.13.0 (PR #6579 and PR #6641).
BIP 112: The CHECKSEQUENCEVERIFY opcode has been implemented since v0.12.1 (PR #7524) and has been activated since block 419328.
BIP 113: Median time past lock-time calculations have been implemented since v0.12.1 (PR #6566) and have been activated since block 419328.
BIP 125: Opt-in full replace-by-fee signaling honoured in mempool and mining as of v0.12.0 (PR 6871).
BIP 130: direct headers announcement is negotiated with peer versions
>=70012as of v0.12.0 (PR 6494).
BIP 133: feefilter messages are respected and sent for peer versions
>=70013as of v0.13.0 (PR 7542).
BIP 152: Compact block transfer and related optimizations are used as of v0.13.0 (PR 8068).