Join a "wine club" (or several) that organizes wine tastings and/or wine dinners; these are often offered at reasonable prices by wine stores. Look also for restaurant (or private club) tastings, classes and wine dinner series offerings. Try to find a compatible group of people who are at approximately your level of knowledge. You don't want to keep retaking the "wine 101" class if you're beyond that level, nor do you want to become overwhelmed too soon by self-proclaimed experts.
Get yourself onto an email list for announcements of classes and other wine events in your area. Some newspapers publish a weekly list too. There might be a website for your area, but it's likely to be run by an entity that organizes such events as a business. IMO the national website resources are at best useless. Wine tastings for charity can be fun too, but again you need to find the right group (and cause) for you. Groups such as alumni associations hold wine tastings, typically at irregular intervals. Big cities should have a handful of wine consultants who are willing to organize/teach tastings/classes for small private groups, of course for a big fee.
When you travel, look for local wine (to pair with local cuisine) and ask about it. Visit a few wineries when you have time, even if you're not in a major wine region. Especially in a less popular area or on a less busy day, you can sometimes have a long conversation with the winemaker or tasting room manager and learn a lot, although the folks employed to pour can be clueless.
After you begin to discover the types of wines you like after getting an overview (overtaste?), you might decide to specialize a bit: learn more about French roses this summer, or try to taste Cabernet from every major region that produces it.