Grades 2+
Site with ready-to-customize numberless word problems: https://numberlesswp.com/
Grades 1+
Bar Models help students represent word problems visually. The Singapore Bar Model method of problem solving underpins Nelson's My Math Path resources. Interactive online bar model problems can be found at Thinking Blocks.
Another FANTASTIC resource for bar model problems is Tape Diagram Tuesday by Duane Habecker.
Grades K-12
Almost all 3-act tasks begin with a "hook" (an interesting picture or very short video), followed by a related thought-provoking question. During this "second act," students usually work in pairs or groups. The third "act" involves bringing students back together for a consolidation.
Sources of pre-made 3-Act Tasks:
Graham Fletcher (K-7) Robert Kaplinsky (K-12)
Visually-appealing problems can help with student engagement.
Grades 1+
Sources of visually-appealing math problems:
Problem Solving Strategies Posters