For the culminating task, one option is to create a simple game.

Here are forty different options that are viable in Swift and SwiftUI alone across the timeframe that we have, when co-developing with a large language model:

TakenGameCore mechanic
15-PuzzleSlide numbered tiles in a 4x4 frame back into order
24 GameCombine four numbers with +-x/ to reach exactly 24
Anagram UnscrambleRearrange shuffled letters to spell the target word
✔️BattleshipFire at coordinates to find and sink a hidden fleet
Boggle-style HuntForm valid words from adjacent letters; check against a dictionary set
Bulls and CowsGuess a hidden number; get digit-correct and position-correct hints
Card WarHigher card wins the round; play through a split deck
Countdown NumbersReach a target value using given numbers and operations
Crazy EightsMatch rank or suit to discard your whole hand first
CryptogramDecode a letter-substitution cipher by assigning letters
Dots and BoxesClaim edges; completing a box scores it and grants another turn
FarkleRoll, set aside scoring dice, then bank or risk the rest
✔️Flag / Capital GuessIdentify the country from its flag or capital
✔️Flashcard Self-TestReveal the answer, mark right/wrong, track mastery
Go FishAsk the AI for ranks; collect sets of four
✔️Gomoku (Five in a Row)Place stones on a grid; first to five in a line wins
✔️HangmanGuess letters before running out of lives
Higher or LowerBet whether the next card outranks the current one
Knucklebones-style DicePlace dice in columns to out-score the opponent
Lights OutToggle a cell, flips neighbours; clear the grid
MancalaSow stones around pits; land precisely to capture
Math DrillSolve a stream of arithmetic problems for a score
✔️Maze RunnerNavigate a fixed maze from start to exit
✔️Memory / ConcentrationFlip cards, match pairs
NimTake objects from piles; last to take wins (or loses) vs the computer
Nonogram (Picross)Fill grid cells to satisfy row/column number clues (fixed puzzles)
Peg SolitaireJump pegs over neighbours to remove them until one remains
Pig (dice)Roll to accumulate points; bank before rolling a 1
QuordleSolve four Wordle grids simultaneously with shared guesses
Rock Paper ScissorsPlay best-of-N against a computer opponent
Sequence RecallReproduce a growing sequence of colours or numbers
SetFind valid trios of cards by attribute matching
Snakes and LaddersRoll and move; chutes and ladders reposition you, vs AI
✔️SokobanPush crates onto target squares (fixed levels)
Spelling BeeBuild words using only seven given letters (one required)
Stroop / Colour MatchTap the ink colour, not the printed word, against a timer
✔️SudokuComplete a 9x9 grid from a fixed puzzle bank; validate rows, columns, boxes
Tic-Tac-Toe3x3, win/draw detection
✔️Tower of HanoiMove a stack of disks across three pegs without placing large on small
✔️Trivia QuizAnswer multiple-choice questions; track score and streak
Twenty QuestionsAn LLM picks an object; the player narrows it with yes/no questions
Word LadderChange one letter at a time to transform start word into target
✔️Word SearchSelect hidden words embedded in a letter grid
Yahtzee-liteRoll five dice and score them into fixed categories