Our way is contrary to their way

It is narrated from Sayyiduna al-Miswar bin Makhramah (may Allah be pleased with him) that the Messenger of Allah (peace and blessings be upon him) addressed us at Arafat. He praised and extolled Allah and then said: "To proceed: The polytheists and idol-worshippers used to depart from here (Arafat) (early) at sunset, when the sun was on the tops of the mountains like men's turbans upon their heads; so our way differs from their way. And they used to depart from al-Mash'ar al-Haram (Muzdalifah) at sunrise, when the sun appeared like turbans upon the tops of the mountains; so our way differs from their way."
This hadith is sahih (authentic) on the condition of Imam Bukhari and Imam Muslim, but the two Shaykhs did not record it.

Sayyiduna Abdullah bin al-Sa'ib (may Allah be pleased with him) narrates from his father that he said: I heard the Prophet (peace and blessings be upon him) making this supplication between the Yemeni Corner and the Black Stone: 'Rabbana atina fi al-dunya hasanatan wa fi al-akhirati hasanatan wa qina adhab al-nar' (Our Lord, grant us good in this world and good in the Hereafter, and protect us from the punishment of the Fire).
This hadith has a sahih (authentic) chain of narration, but the two Shaykhs (Bukhari and Muslim) did not record it.

It is narrated from Sa'id bin Jubayr that a man came to Sayyiduna Abdullah bin Abbas (may Allah be pleased with them both) and said: I made an agreement to work (as a hired labourer) for some people on the condition that they would carry me (on a mount), and in return I reduced my wage so that they would let me perform Hajj with them. Will this Hajj suffice for me? He said: You are among those about whom Allah, the Mighty and Majestic, has said: "It is they who will have a share of what they have earned, and Allah is swift in reckoning" [Surah al-Baqarah: 202].
This hadith is sahih (authentic) on the condition of Imam Bukhari and Imam Muslim, but the two Shaykhs did not record it.

It is narrated from Sayyiduna Abd al-Rahman bin Ya'mar al-Dili (may Allah be pleased with him) that the Messenger of Allah (peace and blessings be upon him) said: "Hajj (at its core) is standing at Arafah (or: Arafat). So whoever reaches Arafah before the break of dawn has attained the Hajj. The days of staying at Mina are three; so whoever hastens (and leaves) in two days, there is no sin upon him, and whoever delays, there is no sin upon him either."
This hadith is sahih (authentic), but the two Shaykhs (Bukhari and Muslim) did not record it.