They are elliptical galaxies.
There are three types of galaxies, all of which are the same, with the exception of their shapes. There are the Elliptical galaxies (football-shaped) the Spiral galaxies (like the Milky way; vortex-shaped) and Irregular galaxies (all shapes other than spiral and football shaped).
I think elliptical galaxies are the galaxies you are referring to. Scientist normally describe them as a flatted disk shape. These galaxies contain mainly older stars.
To date, no galaxies are rectangular in shape.
Yes, lenticular galaxies are lens-shaped. They will not have spiral arms.
Yes, ring galaxies are actually ring-shaped, with a circle-like appearance.
Elliptical galaxies, Lenticular galaxies and Irregular galaxies.
Yes, peculiar galaxies are strangely shaped.
In Québec, american football and canadian football are called football, while the sport with the round-shaped ball you only play with your feet is called soccer. For european francophones, soccer is called football.
Spiral
There are many "odd" shaped galaxies. Do a google search for irregular galaxies and take your pick. See related question.
Galaxies shaped like footballs are known as elliptical galaxies. They typically have an elongated, oval shape and lack the distinct structures, such as spiral arms, found in spiral galaxies. Elliptical galaxies can vary in size and brightness, and they often contain older stars with little ongoing star formation.
Eliptical galaxies have older stars than spirals and elipticals are oval-shaped.