I often do feta chicken:
Under the skin of each thigh, put a pinch of thyme leaves (dried or fresh) and a chunk of feta (roughly 50g). Pop in roasting tray, sprinkle with salt/pepper, I tend to put a drizzle of olive oil over the top. Roast for about 40 minutes (until chick is done to bone and skin is crispy).
I usually do smaller sized roast potatoes, roasted baby potatoes, roasted cubes of potatoes, or fresh tagliatelle as the carb alongside this. (All roasted potato versions are in a separate tray in the oven).
For veg:
Easy version - for last 10 minutes of roasting, add some cherry tomatoes (baby plums on the vine are great visually) to the roasting tray.
Easy version 2 - frozen petits pois in a pot with boiling water thrown over the top and left for 5 minutes (I don't turn the hob on, just let the boiling water thaw and cook them enough in its own heat)
Easy version 3 - put a whole bag of baby spinach into a colander, slowly pour a whole kettle of freshly boiled water over the top (letting it drain away), squeeze out excess water for perfectly wilted spinach
Less easy version (but can do leftovers that are very versatile and is a yum side dish) - roasted med veg - dice up Mediterranean style veggies into the same sized chunks, I do things like whole garlic cloves, halved cherry tomatoes, and then chunks of red onion, mushrooms, courgette, red and yellow peppers, etc (my family don't like aubergine) - toss in some olive oil (and a splash of balsamic vinegar if you have it), salt and pepper, and dried herbs like oregano/basil/thyme, give a good stir before roasting (another separate tray). Time depends on size of veg and if you want a bite left in them or soft and smushy (technical term). I do 1-2 cm dice for oven versions like this, but larger 3-5cm chunks if throwing on a BBQ - the most important thing is that the chunks are relatively similar in size, not what that size is.
The original BBC Good Food mag recipe for the chicken involved 100g feta (plus the thyme) per part boned chicken breast, fresh tagliatelle with sliced black olives mixed through it, the roasted tomatoes and steamed french beans (possibly tossed in a vinegarette after steaming).