Jeskai cards that will let me draw off of either scrying or spell cast or creature entering the battlefield?
There are a several cards that fit your parameters. I found them by searching on Scryfall with the search string ci:uwr is:permanent o:whenever o:draw (o:creature or o:scry). This looks for cards in the Jeskai color identity that are permanents, and have the text &quot;whenever&quot; and &quot;draw&quot; on the card to look for repeated triggered abilties that draw cards, and have the text &quot;cast&quot;, &quot;creature&quot; or &quot;scry&quot;, to look for triggered abilities with those conditions. This finds a lot of false positives, but it only finds 100 cards total, which is small enough to examine manually.
The specific cards that match your criteria are:

Customs Depot, which has the ability &quot;Whenever you cast a creature spell, you may pay {1}. If you do, draw a card, then discard a card.&quot;
Hazoret&#39;s Monument, which has the ability &quot;Whenever you cast a creature spell, you may discard a card. If you do, draw a card.&quot;
Jeskai Ascendancy, which has the ability &quot;Whenever you cast a noncreature spell, you may draw a card. If you do, discard a card.&quot;
Mentor of the Meek, which has the ability &quot;Whenever another creature with power 2 or less enters the battlefield under your control, you may pay {1}. If you do, draw a card.&quot;
Whirlwind of Thought, which has the ability &quot;Whenever you cast a noncreature spell, draw a card.&quot;
Zephyr Scribe, which has the abilities &quot;{U}, {T}: Draw a card, then discard a card.&quot; and &quot;Whenever you cast a noncreature spell, untap Zephyr Scribe.&quot;