In the common example of Griselbrand reanimator decks, big Griz fulfills both tasks
Jenis, Lightsworn Mender X LIGHT Level 4 [ SpellcasterEffect ] ATK 300 DEF 2100 During the End Phase, if a card(s) was sent from your Deck to the Graveyard by the effect of a "Lightsworn" card this turn: Inflict 500 damage to your opponent, and if you do, gain 500 LP.
When this card is Normal Summoned add 1 "Flont, the Flowing Titan" from your Deck to your hand
Youre more than welcome to add Jeweled Lotus or Deflecting Swat to the deck if you own a copy, but I find that to be a bit unnecessary unless your goal is to optimize the deck
We aren't sure of the original source of the image, thanks to RedPV_KKDT for it
Most judges would probably disallow this though, since the mana-adding is no longer being done in the most efficient way, and this starts to run afoul of the intention behind the "players may not make irrelevant changes between iterations" line