I love Heroscape. It isn't sold anymore in stores, but most of the items can be found at fairly decent prices. The concept is really fun and the fact that you build the board allows for unlimited options. The figures are/were also relatively inexpensive and not blind boxed. It really is a nice, simpler version of games like Heroclix and the StarWars miniatures game with elements of table top wargaming. While some luck is involved in dice rolls, choosing your squad and strategy is definitely still important. There are basic sets, D&D sets, and Marvel sets.
While I have a love/ hate relationship with Risk, Risk 2210 is my favorite version of the game. Lots of options and added depth make you feel more in control as the player (the dice aren't the only thing in charge).
Zombies!! by Twilight creations is a game system that while having its own rules, is really a great starter kit for building your own campaigns and game rules. The starter sets come with around 50 zombies and player figures while other sets add more zombie types. You build with tiles as you play expanding your play area, whether it is a city/ forest/ prison/ mall/ etc.
Its an older game and hard to get now, but some of my friends swear by the StarWars epic duels game. I think it came out around the time AOTC was released.